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Chapter 4: Q. 40 (page 194)

In Problems 27鈥� 40, use transformations of the graph of y=x4ory=x5to graph each function. Verify your results using a graphing utility.

role="math" localid="1646158393924" fx=3-x+24

Short Answer

Expert verified

The graph is obtained by shift 2 units left, reflex about x-axis and then 4 units up.

Step by step solution

01

Step 1. Given Information

The given function isfx=3-x+24=-x+24+3

02

Step 2. Draw the graph of fx=x4

03

Step 3. Graph of fx=x+24

Shift 2 units left the graph offx=x+24

04

Step 4. Draw the graph of fx=-x+24

Reflex the graph offx=x+24about x-axis

05

Step 5. Draw the graph of fx=-x-25+4

Shift 4 units up the graph offx=-x+24

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Most popular questions from this chapter

In Problems 63鈥�72, find the real solutions of each equation.

x4-x3+2x2-4x-8=0

In Problems 21鈥�32, determine the maximum number of real zeros that each polynomial function may have. Then list the potential rational zeros of each polynomial function. Do not attempt to find the zeros.

f(x)=-4x3-x2+x+2

Find the real zeros of f. Use the real zeros to factor f.

f(x)=2x3-13x2+24x-9

Find the domain of the rational function.

R(x)=5x23+x

Find the vertical, horizontal, and oblique asymptotes, if any, of each rational function.

G(x)=x4-1x2-x
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