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Turning Points of Polynomial Functions
 
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Turning Points of Polynomial Functions
Views: 54880 Briana Mueller
Max Zeros, Max Turining Points, of a Polynomial Function
 
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Find the maximum number of real zeros, maximum number of turning points and the maximum x-intercepts of a polynomial function. The video is kept short and doesn't address all aspects of the graph of a polynomial. This video is for the completeness of a course I'm teaching. For more math shorts go to www.MathByFives.com
Views: 23185 Mathbyfives
Turning Points and X Intercepts of a Polynomial Function
 
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This video introduces how to determine the maximum number of x-intercepts and turns of a polynomial function from the degree of the polynomial function. Examples are shown with graphs. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com
Views: 51774 Mathispower4u
Possible Turning Points for Polynomial of Degree n
 
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Possible number of turning points for a polynomial of degree n. Can odd degree polynomial have odd number of turning points? Why an even degree polynomial should have at least one turn? Why one but not zero is the least number of turns for odd degree polynomial? The video helps you to understand all the above concepts. Also watch the video to determine possible polynomials from given range and turning points.
Views: 6382 Anil Kumar
Polynomial Functions Graphing - Multiplicity, End Behavior, Finding Zeros - Precalculus & Algebra 2
 
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This algebra 2 and precalculus video tutorial explains how to graph polynomial functions by finding x intercepts or finding zeros and plotting it using end behavior and multiplicity. This video also shows you how to factor a cubic polynomial function to convert it from standard form to factored form. This video contains plenty of examples and practice problems. Functions and Graphs Practice Test: https://www.youtube.com/watch?v=miTyZbwWCVU Transformations of Functions: https://www.youtube.com/watch?v=Zw6UQPdjCtQ&t=2669s How To Find The Domain and Range of a Function: https://www.youtube.com/watch?v=KirGQOwjBVI How To Graph Piecewise Functions: https://www.youtube.com/watch?v=Uzw9tsGq2Pw Epic Music Mix: https://www.youtube.com/watch?v=qeljbZhx9bY Excel Tutorial For Beginners: https://www.youtube.com/watch?v=nK-uNYuvcag How To Get Straight A's In School: https://www.youtube.com/watch?v=oTqiryumeoA How To Receive Tutoring and Get Paid At The Same Time: https://www.youtube.com/watch?v=J8A8JTpOWCQ How To Lose Weight Fast! https://www.youtube.com/watch?v=cC4FUSZunsY Precalculus Video Playlist: https://www.youtube.com/watch?v=0oF09ATZyvE&t=1s&list=PL0o_zxa4K1BXUHcQIvKx0Y5KdWIw18suz&index=1 Support: https://www.patreon.com/MathScienceTutor Here is a list of topics: 1. End Behavior of Linear, Quadratic and Cubic Functions 2. End Behavior Using Sign of Leading Coefficient and Degree of Leading Term - Even vs Odd 3. Polynomial Functions - Factored Form - Finding Zeros or X Intercepts 4. Turning Points - Touches vs Crosses the X axis - How to tell using multiplicity 5. Factoring Polynomial Functions By Grouping and Using Synthetic Division 6. Converting From Standard Form to Factored Form 7. Graphing Polynomial Functions of Higher Degree
Real Zeros and Turning Points of Polynomial Functions
 
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Given a polynomial function, how do I know how many real zeros and turning points it can have?
Views: 14207 Dan Ozimek
Find the turning point of quadratic graphs 1
 
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Find the turning point of quadratic graphs 1
Views: 73980 HEGARTYMATHS
Finding a Polynomial When Given Points
 
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Finding a Polynomial When Given Points
Views: 9350 Lamee Storage
Find Equation of Polynomial given Degree, Roots (Complex) and a Point
 
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Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Find Equation of Polynomial given Degree, Roots (Complex) and a Point that the polynomial goes through
Views: 20968 patrickJMT
MHF4U (3.2) - polynomial functions and number of turning points
 
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www.MHF4U.com Grade 12 Advanced Functions www.MCV4U.com Grade 12 Calculus and Vectors Key Words: MHF4U, Nelson, Advanced Functions, Mcgraw Hill, Grade 12, Toronto, Mississauga, Tutor, Math, Polynomial Functions, Division, Ontario, University, rick hansen secondary school, john fraser secondary school, applewood heights secondary school, greater toronto area, lorne park secondary school, clarkson secondary school, mpm1d, mpm2d, mcr3u, mcv4u, tutoring, university of waterloo, queens university, university of western, york university, university of toronto, finance, ADMS 3530, ADMS 4541, ADMS 4530, FIN 300, MAT133, MAT 133, FIN401, FIN 401
Turning Points
 
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Video on how to find the coordinates and nature of a turning point.
Views: 10876 5 Minute Maths
Turning points of a polynomial
 
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A discussion of the turning points and x-intercepts of a polynomial.
Views: 5737 R Parsons
Determine degree of polynomial from graph
 
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Show how to find the degree of a polynomial function from the graph of the polynomial by considering the number of turning points and x-intercepts of the graph. The sign of the lead coefficient of the polynomial is also determined.
Views: 55542 ValenciaMathJoel
Polynomial end behavior | Polynomial and rational functions | Algebra II | Khan Academy
 
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Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial-end-behavior/e/graphs-of-polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial-end-behavior/v/polynomial-end-behavior-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/factoring-higher-deg-polynomials/v/identifying-graph-based-on-roots?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 514788 Khan Academy
Find Turning Points & their Nature, using Differentiation
 
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Local maximum & minimum points of a cubic. We start by finding dy/dx to find the stationary points, then find the second derivative to find the nature of the points. Edexcel C2 Jan 2006 Exam Question 7
Views: 4301 Maths with Jay
Find the turning point of quadratic graphs 2
 
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Find the turning point of quadratic graphs 2
Views: 20033 HEGARTYMATHS
How to find the maximum number of turning points
 
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In this video I will show you the relationship between degree and number of turning points in a polynomial function.
Views: 231 Lillian Barlund
How To Find Max and Min Turning Points & The Second Derivative
 
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Learn how to find the maximum and minimum turning points for a function and learn about the second derivative.
Views: 25566 EasyMath
Using turning points to find a cubic function
 
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We look at an example of how to find the equation of a cubic function when given only its turning points.
Views: 7447 Eric Verburg
Locating Turning Points Using Calculus
 
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Example of locating the coordinates of the two turning points on a cubic function. Found by setting f'(x)=0. Hope it helps :)
Views: 6283 Harold Walden
Number of Turning Points in Polynomials
 
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#Turning Points = # Zeros - 1 + # Even Zeros See how this formula is derived Q1. How many turning points will the following equations have: f(x) = x(x+1)^2(x+3)(x-2)^4(x=4)^3 g(x) = -0.5(x-4)^2(x+2)^5(x-1)(x-5)^2 Q2. Write equation of a polynomial with degree 10, 5 turning points and 5 zeros.
Views: 2776 Anil Kumar
Using the Leading coefficient test to determine the end behavior of a polynomial
 
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Learn how to determine the end behavior of the graph of a polynomial function. To do this we will first need to make sure we have the polynomial in standard form with descending powers. We will then identify the leading terms so that we can identify the leading coefficient and degree of the polynomial. The end behavior of a polynomial depends on the leading coefficient (the coefficient of the term with the greatest power) and the degree (the exponent of the term with the greatest power) of the polynomial. If the degree is even and the leading coefficient is positive, the graph of the polynomial rises left and rises right. If the degee is even and the leading coefficient is negative, the graph of the polynomial falls left and falls right. If the degee is odd and the leading coefficient is positive, the graph of the polynomial falls left and rises right. If the degee is odd and the leading coefficient is negative, the graph of the polynomial rises left and falls right. #polynomials #endbehavior #polynomials #endbehavior
Views: 60522 Brian McLogan
How do we find multiplicity and use it to graph a polynomial
 
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Learn how to use the tools needed to graph a Polynomial function in standard form. The tools we will use to help us graph are end behavior, finding the zeros by factoring synthetic division as well as identify the multiplicity of each zero. The end behavior of the polynomial can be determined by looking at the degree and leading coefficient. Once we know where the graph is going we can find the x-intercepts to obtain a general shape of the graph. We will use the multiplicity the power of each factor to determine if the graph crosses or bounces at each intercept. We use all of this information to sketch the graph. #polynomials #graphpolynomials
Views: 87013 Brian McLogan
Finding Turning Points Using Difference Quotient
 
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Learn how to find the turning points of a graph using the difference quotient in this free math video tutorial by Mario's Math Tutoring. We discuss the horizontal tangent line and how it can be used to find the relative maximum and minimums of a graph. 0:13 Formula for the Derivative Using the Difference Quotient 0:43 Example 1 f(x)=2x^3 - 6x Find Relative Maximums and Relative Minimums of the Graph 0:45 Finding the Difference Quotient 2:11 Taking the Limit to Find the Derivative 2:41 Setting Derivative Equal to Zero to Find Where the Tangent to the Graph is Horizontal 3:19 Graphing Maximums and Minimums, Zeros, and End Behavior to Get a Good Graph of the Polynomial Related Videos: More Difference Quotient Examples https://youtu.be/6dsbN8ZW3lM What is a Derivative? https://youtu.be/wUZcIYx-7a4 Looking to raise your math score on the ACT and new SAT? Check out my Huge ACT Math Video Course and my Huge SAT Math Video Course for sale at http://mariosmathtutoring.teachable.com For online 1-to-1 tutoring or more information about me see my website at: http://www.mariosmathtutoring.com * Organized List of My Video Lessons to Help You Raise Your Scores & Pass Your Class. Videos Arranged by Math Subject as well as by Chapter/Topic. (Bookmark the Link Below) http://www.mariosmathtutoring.com/free-math-videos.html
Turning Points in Polynomial Functions
 
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Views: 759 Mansi M
How do you determine the number of turning points in a polynomial function
 
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How do you determine the number of turning points in a polynomial function - Find out more explanation for : 'How do you determine the number of turning points in a polynomial function' only from this channel. Information Source: google
Views: 2 atunakai5c
Polynomial Functions Part 5
 
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Determine the number of turning points that a polynomial graph might have. Graph a polynomial function using intercepts, multiplicity and end behavior.
Views: 956 SuperMathPrincess
How to determine the extrema and zeros from the graph of a polynomial
 
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Learn how to determine the extrema from a graph. The extrema of a function are the critical points or the turning points of the function. They are the points where the graph changes from increasing to decreasing or vice versa. They are the points where the graph turnes. The points where the graph changes from increasing to decreasing are called the maximum point while the points where the graph changes from decreasing to increasing are called the minimum point. #functions #graphsoffunctions #functions #graphsoffunctions
Views: 954 Brian McLogan
Polynomial End Behavior
 
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The end behavior of a polynomial is determined by the degree and coefficient of its leading term. The video gives 10 examples in an arm waving demonstration of end behavior. For more math shorts go to www.MathByFives.com
Views: 92093 Mathbyfives
Graphing using derivatives - finding the turning points of a cubic equation
 
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Graphing using derivatives to find the turning points of this cubic equation correct to 2 decimal places, y = 2x^3 – 5x^2 – x – 6 The meaning of a turning point on a curve The video explains the difference between positive, negative and zero gradients, and that the gradient of a curve at a point is the gradient of the tangent at that point, which illustrates that the turning point on the cubic can be represented by a horizontal tangent, that is when the gradient is zero. Differentiating a cubic equation. Differentiating the cubic equation gives the derivative which gives the rate of change of the function at a point; the rate of change is the gradient of the tangent at that point. A formula for the differentiation of each term of a polynomial, in this case a cubic equation, is given. The video shows how each term of the cubic equation given is differentiated. The derivative of the cubic equation is a quadratic, the turning point is when the derivative is equal to nought. Solving a quadratic The quadratic (derivative) will not factorise to give integer solutions, a fact substantiated by the problem asking for the solutions to be given to 2 decimal places, so the quadratic formula is used. The derivative is compared with the general quadratic equation ax^2 + bx + c to obtain the values a, b and c, which are then substituted into the quadratic formula. x=(-b±√(b^2-4ac))/2a The video shows both the substitution and the ordered steps in the solution to give the x-co-ordinates of the turning points. Substituting values in the cubic equation to find the y co-ordinates of the turning points. The values of x are substituted into the cubic equation; the video uses nested brackets to ensure the correct order of operations. It can be evaluated by inputting into a calculator as shown or each term calculated separately and added at the end; whilst still working to 3 decimal places to avoid incurring any rounding errors. Obtaining the turning points of the cubic equation Finally, the turning points are rounded to 2 decimal places. Graph of the cubic equation The video ends with a graph of the cubic equation drawn using a spreadsheet. The points of intersection of the curve with the x and y axes are shown on the graph, these were calculated in a previous video which can be accessed from the following web address: https://www.youtube.com/watch?v=apcZT61oOKs
Views: 929 The Maths Tutor
Learn how to analyze the characteristics of a polynomial graph
 
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Learn how to determine the multiple characteristics of a polynomial. A polynomial is an equation of the type y = ax^n + bx^(n-1) + cx^(n-2) + . . . + k, where a, b, c, . . ., k are constants.The highest exponent of a polynomial is called the degree of the polynomial. Given the graph of a polynomial, we can determine the characteristics of the polynomial from the graph. We can determine the end behaviour of the polynomial (rises or falls left and rises or falls right). We can determine the number of zeros of the polynomial (the number of places the graph crosses or touches the x-axis). We can determine the number of turning points of the polynomial (the number of times the graph turned). We can determine the degree of the polynomial (the number of turning points plus 1), and we can determine the domain and the range of the polynomial. #functions #graphsoffunctions #functions #graphsoffunctions
Views: 1050 Brian McLogan
Turning Points and Identifying a Polynomial from a Given Graph: Section 4.1 Ex 2
 
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This is Eric Hutchinson from the College of Southern Nevada. This video shows how to identify a polynomial from a given graph. It also discusses how to find the max number of turning points for a polynomial. This lecture video accompanies the electronic notes I have here: http://sites.csn.edu/ehutchinson/Notes/4_1NOTES128S.pdf
Views: 1907 Eric Hutchinson
End Behavior of Polynomial Functions
 
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What is 'End Behavior'? How do I describe the end behavior of a polynomial function?
Views: 143813 Dan Ozimek
Master Determining the the end behavior of a polynomial by using the leading coefficient test
 
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Want more on Polynomials? Take my Polynomial course for 50% off below https://www.udemy.com/polynomials-your-complete-guide/?couponCode=YOUTUBE15 Inside this course you will gain access to over 130 problems worked out step by step, over 100 extra practice problems with solutions provided and over 15 quizzes to test your skills until you achieve 100% mastery. Also provided are detailed videos explaining each concept, process and essential definitions. Topic covered include: adding, subtracting, multiplying, dividing using long division, dividing using synthetic division, solving by factoring, solving by division, end behavior, multiplicity, writing the equation, and graphing. Subscribe To My Channel http://bit.ly/2hd1NPu For more than 10,000 unique problems solved visit http://www.freemathvideos.com Why me? Math never came easy to me. I have the report cards to prove it. However I decided I wanted to become a math teacher early on in life and change the way math was taught. I worked very hard to obtain my degree in mathematics and have been teaching at the high school level since 2007. Through the years I have learned a lot about myself, how to learn, teach and just math in general. The purpose of this channel is to promote my vision that everyone can learn math and provide any additional skills, techniques or tricks to help you learn math. I love to hear from you so connect with me. TWITTER https://twitter.com/mrbrianmclogan FACEBOOK https://www.facebook.com/freemathvideos/ Looking for more courses? If you are looking for more help, I have designed multiple courses to help you become a master in multiple topics. In addition to learning how to solve problems step by step you will have access to multiple practice problems and online quizzes to test and perfect your skills. Learn more https://www.udemy.com/user/brianmclogan2/
Views: 2397 Brian McLogan
Algebra 2 - Graphing Polynomial Functions on the TI-84
 
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This video shows how to graph a polynomial function on the TI-84, and identify the maximum/minimum points, zeros, and use the table to find other points.
Views: 25446 nagerhard
How to Differentiate : Locating Turning Points / Stationary Points
 
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How to easily differentiate to find a turning point where the gradient dy/dx equals zero. View my channel: http://www.youtube.com/jayates79
Alg  2 End Behavior and Turning Points Video
 
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Determine the number of turning points and the end behavior of graphs of polynomials
Views: 188 Scott Van Epps
Finding the turning point of a quadratic graph
 
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Recorded with http://screencast-o-matic.com
Views: 4158 Mark Meaney
Review Polynomial Zeros End Behaviour Graph Turning Points MHF4U Part 1
 
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Quick review on Polynomial Characteristics with two multiple choice question papers. e.mail: [email protected]
Views: 143 Anil Kumar
Equation of a Polynomial Given the Zeros and a Point 143-3.7.2.a
 
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How to find the equation of a polynomial function when you're given the zeros of the function, any multiplicities, and a point on the graph. This video is provided by the Learning Assistance Center of Howard Community College. For more math videos and exercises, go to HCCMathHelp.com.
Views: 2559 HCCMathHelp
Ex:  Determine the Least Possible Degree of a Polynomial From the Graph
 
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This video explains how to determine the least possible degree of a polynomial based upon the graph of the function by analyzing the intercepts and turns of the graph. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com
Views: 101422 Mathispower4u

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