Chapter 4: Q. 31 (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.
$f (x) = \frac{1}{2} x^{4}$

Short Answer

Expert verified

The graph of $f (x) = \frac{1}{2} x^{4}$ compressing by the factor $\frac{1}{2}$ of the function $f (x) = x^{4}$

Step by step solution

Step 1. Given Information

The given function is $f (x) = \frac{1}{2} x^{4}$

Step 2. Draw the graph of fx=x4

Step 3. Draw the graph of fx=12x4

Lets multiply $f (x) = x^{4}$ by $\frac{1}{2}$ , thus we need to compress by the factor $\frac{1}{2},$ to get the graph of $\frac{1}{2} x^{4}$

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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.
$f (x) = \frac{1}{2} x^{4}$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Draw the graph of fx=x4

Step 3. Draw the graph of fx=12x4

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In Problems 27– 40, use transformations of the graph of y=x4or y=x5to graph each function. Verify your results using a graphing utility.fx=12x4

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Draw the graph of fx=x4

Step 3. Draw the graph of fx=12x4

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Theoretical and Mathematical Physics

Applied Mathematics

Pure Maths

Statistics

Decision Maths

Study anywhere. Anytime. Across all devices.

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.
$f (x) = \frac{1}{2} x^{4}$