IM Alg2.2.9 Lesson: End Behavior (Part 2)

Match each of the graphs to the polynomial equation it represents.
For the graph without a matching equation, write down what must be true about the polynomial equation.
Write an equation for a polynomial with the following properties:
it has even degree, it has at least 2 terms, and, as the inputs get larger and larger in either the negative or positive directions, the outputs get larger and larger in the negative direction.[br] [br][i]Pause here so your teacher can review your work.[/i]
Write an equation for a polynomial with the following properties:
it has odd degree, it has at least 2 terms, as the inputs get larger and larger in the negative direction the outputs get larger and larger in the positive direction, and as the inputs get larger and larger in the positive direction, the outputs get larger and larger in the negative direction.[br]
In the given graph all of the horizontal intercepts are shown.
[img]data:image/png;base64,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[/img][br]Find a function with this general shape and the same horizontal intercepts.
[size=150][math]M[/math] and [math]N[/math] are each functions of [math]x[/math] defined by [math]M(x)=\text{-}x^3-2x+8[/math] and [math]N(x)=\text{-}20x^2+3x+8[/math].[/size][br][br]Describe the end behavior of [math]M[/math] and [math]N[/math].[br]
For [math]x[/math]>[math]0[/math], which function do you think has greater values? Be prepared to share your reasoning with the class.[br]

IM Alg2.2.9 Practice: End Behavior (Part 2)

Match the polynomial with its end behavior.
[size=150]State the degree and end behavior of [math]f(x)=\text{-}x^3+5x^2+6x+1[/math].[/size]
Explain or show your reasoning.
[size=150]The graph of a polynomial function [math]f[/math] is shown. 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[/img] [br]Select [b]all[/b] the true statements about the polynomial.
[size=150]Write the sum of [math]5x^2+2x-10[/math] and [math]2x^2+6[/math] as a polynomial in standard form.[/size]
[size=150]State the degree and end behavior of [math]f(x)=4x^3+3x^5-x^2-2[/math].[/size]
Explain or show your reasoning.
Select [b]all[/b] the polynomial functions whose graphs have x-intercepts at [math]x=4,\text{-}\frac{1}{4},\text{-}2[/math].

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