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Chapter 4: Q. 34 (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. $f (x) = - x^{4}$

Short Answer

Expert verified

The graph of $f (x) = - x^{4}$ is obtained by reflexing the graph of $f (x) = x^{4}$ about x-axis.

Step by step solution

01

Step 1. Given Information

The given function is $f (x) = - x^{4}$

02

Step 2. Draw the graph of fx=x4

03

Step 3. Draw the graph of fx=-x4

Reflect the graph of $f (x) = x^{4}$ about x-axis to obtain the graph

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Most popular questions from this chapter

Factor the expression $6 x^{2} + x - 2$ .

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

$f (x) = x^{3} - 8 x^{2} + 17 x - 6$

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

$R (x) = \frac{8 x^{2} + 26 x - 7}{4 x - 1}$

Solve the inequality algebraically

$(x + 1) (x + 2) (x + 3) \leq 0$

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.

$f (x) = 2 x^{5} - x^{4} - x^{2} + 1$

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