Below is the graph of a polynomial function with real coefficients. All local extrema of the function are shown in the graph. 104y -8 -6 4 -2- Use the graph to answer the following questions.

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Below is the graph of a polynomial function with real coefficients. All local extrema of the function are shown in the graph.
&
10+
ta
Use the graph to answer the following questions.
(a) Over which intervals is the function increasing? Choose all that apply.
□
□ (-∞, -8) (-8, -1) (-1, 5) (-8, 5) (5, 00⁰)
(b) At which x-values does the function have local minima? If there is more
than one value, separate them with commas.
0
(c) What is the sign of the function's leading coefficient?
(Choose one)
(d) Which of the following is a possibility for the degree of the function? Choose
all that apply.
4
5
☐ 6
8
9
0,0,...
×
Ś
Transcribed Image Text:Below is the graph of a polynomial function with real coefficients. All local extrema of the function are shown in the graph. & 10+ ta Use the graph to answer the following questions. (a) Over which intervals is the function increasing? Choose all that apply. □ □ (-∞, -8) (-8, -1) (-1, 5) (-8, 5) (5, 00⁰) (b) At which x-values does the function have local minima? If there is more than one value, separate them with commas. 0 (c) What is the sign of the function's leading coefficient? (Choose one) (d) Which of the following is a possibility for the degree of the function? Choose all that apply. 4 5 ☐ 6 8 9 0,0,... × Ś
Consider the following polynomial function.
ƒ(x) = (x− 1)(x+1)(x−2)²
Answer the questions regarding the graph of f.
Then, use this information to graph the function.
(a) Choose the end behavior of the graph of f.
Choose One
(b) List each real zero of faccording to the behavior of the graph at the X-axis near that
zero. If there is more than one answer, separate them with commas. If there is no
answer, click on "None".
Zero(s) where the graph crosses the X-axis:
Zero(s) where the graph touches, but does not cross the X-axis:
(c) Find the y-intercept of the graph of f:
|(d) Graph f(x) = − (x− 1) (x+1) (x−2)² by doing the following.
Plot all points where the graph of fintersects the X-axis or y-axis.
●
For each point on the X-axis, select the correct behavior.
Click on the graph icon.
X
✓
None
3
Transcribed Image Text:Consider the following polynomial function. ƒ(x) = (x− 1)(x+1)(x−2)² Answer the questions regarding the graph of f. Then, use this information to graph the function. (a) Choose the end behavior of the graph of f. Choose One (b) List each real zero of faccording to the behavior of the graph at the X-axis near that zero. If there is more than one answer, separate them with commas. If there is no answer, click on "None". Zero(s) where the graph crosses the X-axis: Zero(s) where the graph touches, but does not cross the X-axis: (c) Find the y-intercept of the graph of f: |(d) Graph f(x) = − (x− 1) (x+1) (x−2)² by doing the following. Plot all points where the graph of fintersects the X-axis or y-axis. ● For each point on the X-axis, select the correct behavior. Click on the graph icon. X ✓ None 3
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