   Chapter 4.1, Problem 50E

Chapter
Section
Textbook Problem

Sketching a Graph In Exercises 49 and 50, the graph of the derivative of a function is given. Sketch the graphs of two functions that have the given derivative. (There is more than one correct answer.) To print an enlarged copy of the graph, go to MathGraphs.com. To determine

To graph: The two functions that have the same derivative as given below,

Explanation

Given:

The graph of the derivative of function is,

Please Refer the figure in the given question.

Graph:

Consider the given graph,

From the graph, it can be interpreted that,

f(x)=x

Now integrate both sides,

f(x)=x22+C

There are many function associated with the above function. Therefore, two function can be assumed. The first one is,

f(x)=x22

To draw the graph, make the table,

 x −2 −1 0 1 2 f(x) 2 12 0 12

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