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Chapter 2: Q. 21 (page 166)

In Exercises 21鈥�24, sketch the graph of a function f that has the listed characteristics.

f(1)=2;f'(1)=0;f'(3)=2

Short Answer

Expert verified

The graph of the function with the given characteristics is:

Step by step solution

01

Step 1. Given Information.

The characteristics of the function:

f(1)=2;f'(1)=0;f'(3)=2

02

Step 2. Observe from the given information.

From the given information we can conclude that the function has a bend at x=1since f'(1)=0.

And f(1)=2so the function is a positive quantity at x=2

And the slope of the tangent x=3 is positive since it is 2.

03

Step 3. Graph the function.

Graph the function.

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