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Chapter 3: Q. 30 (page 248)

Find the critical points of each function f .Then use a graphing utility to determine whether f has a local minimum, a local maximum, or neither at each of these critical points.

fx=2x-15

Short Answer

Expert verified

The critical point is x=12. The graph of the function is shown below .

Step by step solution

01

Step 1. Given information .

Consider the given functionfx=2x-15.

02

Step 2. Find the critical points .

To find the critical points differentiate the given function .

fx=2x-15f'x=52x-14=52x-122x-12

Further simplify .

Put f'x=0

2x-122x-12=0x=12,x=12

Therefore the critical point isx=12.

03

Step 3. Plot the graph .

The graph of the given function by using graphing utility is shown below.

From the given graph function f has local maximum because the turning point is on the positive axis .

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