IM Alg2.2.8 Lesson: End Behavior (Part 1)
What do you notice? What do you wonder?
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[/img][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table]
For your assigned polynomial, complete the column for the different values of x. Discuss with your group what you notice.
Sketch what you think the end behavior of your polynomial looks like using the Pen Tool, then check your work by graphing the polynomial.
[size=150][size=100]Mai is studying the function [math]p(x)=\text{-}\frac{1}{100}x^3+25,422x^2+8x+26[/math]. She makes a table of values for p with [math]x=\pm1,\pm5,\pm10,\pm20[/math] and thinks that this function has large positive output values in both directions on the [math]x[/math]-axis. [/size][/size]Do you agree with Mai? Explain your reasoning.[br]
[size=150]Consider the polynomial [math]y=2x^5-5x^4-30x^3+5x^2+88x+60[/math].[/size][br][br]Identify the degree of the polynomial.[br]
Which of the 6 terms is greatest when [math]x=0[/math]?
Which of the 6 terms is greatest when [math]x=1[/math]?
Which of the 6 terms is greatest when [math]x=3[/math]?
Which of the 6 terms is greatest when [math]x=5[/math]?
Describe the end behavior of the polynomial.[br]
IM Alg2.2.8 Practice: End Behavior (Part 1)
[size=150]Which polynomial function gets larger and larger in the negative direction as [math]x[/math] gets larger and larger in the negative direction?[/size]
[size=150]The graph of a polynomial function [math]f[/math] is shown.[/size][br][img]data:image/png;base64,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[/img][br]Which statement about the polynomial is true?
[size=150]Andre wants to make an open-top box by cutting out corners of a 22 inch by 28 inch piece of poster board and then folding up the sides. The volume [math]V(x)[/math] in cubic inches of the open-top box is a function of the side length in inches of the square cutouts.[/size][br][br]Write an expression for [math]V(x)[/math].
What is the volume of the box when [math]x=6[/math]?[br]
What is a reasonable domain for [math]V[/math] in this context?[br]
For each polynomial function, rewrite the polynomial in standard form. Then state its degree and constant term.
[math]f(x)=(3x+1)(x+2)(x-3)[/math][br]
[math]g(x)=\text{-}2(3x+1)(x+2)(x-3)[/math]
Kiran wrote [math]f(x)=(x-3)(x-7)[/math] as an example of a function whose graph has [math]x[/math]-intercepts at [math]x=\text{-}3,\text{-}7[/math]. What was his mistake?
A polynomial function, [math]f(x)[/math], has [math]x[/math]-intercepts at [math](\text{-}6,0)[/math] and [math](2,0)[/math]. What is one possible factor of [math]f(x)[/math]?