Chapter 2: Q. 3 (page 164)

Identifying increasing and decreasing behavior: Use a graphing utility to determine the intervals on which $f (x) = - 4 x^{5} + 25 x^{4} - 40 x^{3}$ is increasing or decreasing.

Short Answer

Expert verified

The function $f (x) = - 4 x^{5} + 25 x^{4} - 40 x^{3}$ is increasing on the interval $(2, 3)$ and decreasing on intervals $(- \infty, 2) & (3, \infty) .$

Step by step solution

Step 1. Given information.

The given function is $f (x) = - 4 x^{5} + 25 x^{4} - 40 x^{3} .$

Step 2. Graph of function.

Plot the graph of function $f (x) = - 4 x^{5} + 25 x^{4} - 40 x^{3}$ using a graphing utility.

The graph o function state that the function is increasing on the interval $(2, 3)$ and decreasing on intervals $(- \infty, 2) & (3, \infty) .$

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Identifying increasing and decreasing behavior: Use a graphing utility to determine the intervals on which $f (x) = - 4 x^{5} + 25 x^{4} - 40 x^{3}$ is increasing or decreasing.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Graph of function.

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Identifying increasing and decreasing behavior: Use a graphing utility to determine the intervals on which f(x)=-4x5+25x4-40x3is increasing or decreasing.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Graph of function.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

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Study anywhere. Anytime. Across all devices.

Identifying increasing and decreasing behavior: Use a graphing utility to determine the intervals on which $f (x) = - 4 x^{5} + 25 x^{4} - 40 x^{3}$ is increasing or decreasing.