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
www.desmos.com/calculator/bnxivxf4vn
f(x) = -x^2
www.desmos.com/calculator/kkbbbvzpwh
f(x) = x^4
www.desmos.com/calculator/qr4lvjudsq
f(x) = x^2, g(x) = x^4
www.desmos.com/calculator/0i1bsu0prl
f(x) = x^3, g(x) = x^5
www.desmos.com/calculator/ekxsuhwvyi
f(x) = x^6
www.desmos.com/calculator/f0io69b7hj
f(x) = x^3
www.desmos.com/calculator/ybyqpwlq4v
f(x) = -x^3
www.desmos.com/calculator/kgr7ajuecm
f(x) = x^5
www.desmos.com/calculator/apxvpbjw2u
f(x) = x^7
www.desmos.com/calculator/3fleyzroph

Example #1 Transformations of Monomials
www.desmos.com/calculator/vd0bn3lash

Example #2 End Behavior of Polynomials
www.desmos.com/calculator/8r4pcb3kz6

Example #3 End Behavior of Polynomials
www.desmos.com/calculator/scjcm88tsm

Example #4 End Behavior of Polynomials
www.desmos.com/calculator/rggj1ukggs

Example #5 End Behavior of Polynomials
www.desmos.com/calculator/hcqm3ztp07

Example #6 End Behavior of Polynomials
www.desmos.com/calculator/jjz3s4mpfg

Example #7 Shape of a Graph Near a Zero
www.desmos.com/calculator/khr1eghsmj

Example #8 Shape of a Graph Near a Zero
www.desmos.com/calculator/7mqo7h7eha

Example #9 Local Maxima and Minima
www.desmos.com/calculator/bltink91ql

Example #10 Graphing Polynomial Functions
www.desmos.com/calculator/rpupdss3g2



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