Search results “Determining turning points of a polynomial function”

Turning Points of Polynomial Functions

Views: 54880
Briana Mueller

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

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 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

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:
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Excel Tutorial For Beginners:
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How To Get Straight A's In School:
https://www.youtube.com/watch?v=oTqiryumeoA
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https://www.youtube.com/watch?v=J8A8JTpOWCQ
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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

Views: 354201
The Organic Chemistry Tutor

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

Views: 73980
HEGARTYMATHS

Finding a Polynomial When Given Points

Views: 9350
Lamee Storage

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

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Grade 12 Advanced Functions
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Grade 12 Calculus and Vectors
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Views: 843
AllThingsMathematics

Video on how to find the coordinates and nature of a turning point.

Views: 10876
5 Minute Maths

A discussion of the turning points and x-intercepts of a polynomial.

Views: 5737
R Parsons

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

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.
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Subscribe to Khan Academy’s Algebra II channel:
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Views: 514788
Khan Academy

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

Views: 20033
HEGARTYMATHS

In this video I will show you the relationship between degree and number of turning points in a polynomial function.

Views: 231
Lillian Barlund

Learn how to find the maximum and minimum turning points for a function and learn about the second derivative.

Views: 25566
EasyMath

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

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

#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

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

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

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
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For online 1-to-1 tutoring or more information about me see my website at:
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* 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

Views: 496
Mario's Math Tutoring

-- Created using PowToon -- Free sign up at http://www.powtoon.com/join -- Create animated videos and animated presentations for free. PowToon is a free tool that allows you to develop cool animated clips and animated presentations for your website, office meeting, sales pitch, nonprofit fundraiser, product launch, video resume, or anything else you could use an animated explainer video. PowToon's animation templates help you create animated presentations and animated explainer videos from scratch. Anyone can produce awesome animations quickly with PowToon, without the cost or hassle other professional animation services require.

Views: 759
Mansi M

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

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

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

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 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 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

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

What is 'End Behavior'? How do I describe the end behavior of a polynomial function?

Views: 143813
Dan Ozimek

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.
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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.
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Views: 2397
Brian McLogan

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 easily differentiate to find a turning point where the gradient dy/dx equals zero. View my channel: http://www.youtube.com/jayates79

Views: 19169
Maths Videos - by jayates

Determine the number of turning points and the end behavior of graphs of polynomials

Views: 188
Scott Van Epps

Views: 5993
Phil Adams

Recorded with http://screencast-o-matic.com

Views: 4158
Mark Meaney

Quick review on Polynomial Characteristics
with two multiple choice question papers. e.mail: [email protected]

Views: 143
Anil Kumar

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

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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