Consider the following polynomial function. f(x)=x²(x+2)²(x-1) 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 Falls to the left and rises to the right (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 fi 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Consider the following polynomial function.
5(x)=x²(x+2)²(x-1)
Answer the questions regarding the graph of f
Then, use this information to graph the function.
Continue
(a) Choose the end behavior of the graph of f
Falls to the left and rises to the right
(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:
0
Zero(s) where the graph touches, but does not cross the x-axis
axis: 0
0
(c) Find the y-intercept of the graph of fi
(d) Graph f(x)=x²(x+2)²(x-1) 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
8
X
None
Transcribed Image Text:Consider the following polynomial function. 5(x)=x²(x+2)²(x-1) Answer the questions regarding the graph of f Then, use this information to graph the function. Continue (a) Choose the end behavior of the graph of f Falls to the left and rises to the right (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: 0 Zero(s) where the graph touches, but does not cross the x-axis axis: 0 0 (c) Find the y-intercept of the graph of fi (d) Graph f(x)=x²(x+2)²(x-1) 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 8 X None
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