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Chapter 4: Q. 32 (page 194)

In Problems 27– 40, use transformations of the graph of $y = x^{4}$ or $y = x^{5}$ to graph each function. Verify your results using a graphing utility.
$f (x) = 3 x^{5}$

Short Answer

Expert verified

The graph of the function $f (x) = 3 x^{5}$ is obtained to compress by the factor of 3.

Step by step solution

01

Step 1. Given Information

The given function is $f (x) = 3 x^{5}$

02

Step 2. Draw the graph of fx=x5

03

Step 3. Draw the graph of fx=3x5

To get the graph of $f (x) = 3 x^{5}$ , compress by a factor of 3,

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Most popular questions from this chapter

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

$f (x) = 2 x^{3} - 13 x^{2} + 24 x - 9$

In Problems 57– 62, find the real zeros of f. If necessary, round to two decimal places.

$f (x) = x^{3} + 42.2 x^{2} - 664.8 x + 1490.4$

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

$f (x) = 3 x^{3} - 7 x^{2} + 12 x - 28$

Write a few paragraphs that provide a general strategy for graphing a polynomial function. Be sure to mention the following: degree, intercepts, end behavior, and turning points.

In Problems 21–32, 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.

$f (x) = x^{5} - x^{4} + 2 x^{2} + 3$

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