Use the graph of f (x) shown to find the graph of f (x).2--22--12-2-4-2-2-2-

Answered: Use the graph of f (x) shown to find…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

Use the graph of f (x) shown to find the graph of f (x).
2-
-2
2-
-1
2
-2-
4-
2-
2
-2-

Expert Solution

Step 1

Let f(x) be a function plotted on x y axis, then $f' (x)$ is the slope of the graph.

The graph of the function given in the question is given below(adding some points).

Consider the function from $x = - 1.8$ to $x = - 1$ . Here, the function value is increasing. Therefore the slope is positive. Thus, the graph of f'(x) will be positive.

Consider the function from $x = - 1$ to $x = - 0.8$ . Here, the function value is increasing. Therefore the slope is positive. Thus, the graph of f'(x) will be positive.

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