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Chapter 2: Q. 3TB (page 196)

Associated slope functions: For each of the following two function graphs, sketch a careful, labeled graph of its associated slope function.

Short Answer

Expert verified

The graph of slope is

Slope of second graph

Step by step solution

01

Given Information

For each of the following two function graphs, sketch a careful, labeled graph of its associated slope function.

02

Part 1: Step 1: Graph the slope

The graph reaches maximum at x=0. So the graph crosses x intercept in derivative graph .

When f(x) is increasing , then the slope is positive.

when f(x) is decreasing , then the slope is negative

03

Part(2) Step 1: Slope of the graph

Second graph reaches maximum at x=1. Slope is 0 at x=1

It reaches minimum at x=1, slope =0 at x=1

When graph goes down , slope is negative

when graph does up then slope is positive

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Most popular questions from this chapter

For each function $f (x)$ and interval $[a, b]$ in Exercises $81 - 86$ , use the Intermediate Value Theorem to argue that the function must have at least one real root on $[a, b]$ . Then apply Newton’s method to approximate that root.

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localid="1648369345806" $f (x) = x^{4} - 2, [a, b] = [1, 2]$ .

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