Polynomial Functions and Their Graphs

Описание: http://www.greenemath.com/

In this lesson, we will learn about polynomial functions and their graphs.

Chapters:

00:00 Introduction
00:04 Basic definitions related to polynomial functions
02:29 Finding the degree, leading coefficient, leading term, and constant term
04:06 Graphs of common monomials
06:35 Example of transformations of monomials
10:41 Definition of smooth and continuous
12:11 End behavior
21:50 Shape of the graph near a zero
31:48 Turning points of the graph
40:17 Graphing a polynomial function

Desmos Links:

Lesson:
f(x) = x^2
https://www.desmos.com/calculator/bnx...
f(x) = -x^2
https://www.desmos.com/calculator/kkb...
f(x) = x^4
https://www.desmos.com/calculator/qr4...
f(x) = x^2, g(x) = x^4
https://www.desmos.com/calculator/0i1...
f(x) = x^3, g(x) = x^5
https://www.desmos.com/calculator/ekx...
f(x) = x^6
https://www.desmos.com/calculator/f0i...
f(x) = x^3
https://www.desmos.com/calculator/yby...
f(x) = -x^3
https://www.desmos.com/calculator/kgr...
f(x) = x^5
https://www.desmos.com/calculator/apx...
f(x) = x^7
https://www.desmos.com/calculator/3fl...

Example #1 Transformations of Monomials
https://www.desmos.com/calculator/vd0...

Example #2 End Behavior of Polynomials
https://www.desmos.com/calculator/8r4...

Example #3 End Behavior of Polynomials
https://www.desmos.com/calculator/scj...

Example #4 End Behavior of Polynomials
https://www.desmos.com/calculator/rgg...

Example #5 End Behavior of Polynomials
https://www.desmos.com/calculator/hcq...

Example #6 End Behavior of Polynomials
https://www.desmos.com/calculator/jjz...

Example #7 Shape of a Graph Near a Zero
https://www.desmos.com/calculator/khr...

Example #8 Shape of a Graph Near a Zero
https://www.desmos.com/calculator/7mq...

Example #9 Local Maxima and Minima
https://www.desmos.com/calculator/blt...

Example #10 Graphing Polynomial Functions
https://www.desmos.com/calculator/rpu...



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