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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

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Chapter
Section
BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

Evaluate f(‒3), f(0), and f(2) for the piecewise defined function. Then sketch the graph of the function.

42. f ( x ) = { 3 1 2 x if  x < 2 2 x 5 if  x 2

To determine

To find: The values of f(3),f(0),f(2) and sketch the graph of piecewise function.

Explanation

Given:

The function is f(x)={312xif x<22x5if x2 .

Calculation:

Obtain the values of f(3),f(0) and f(2) as follows:

Since the value of x (=3) is less than 2, substitute −3 for x in the function f(x)=312x .

f(3)=312(3)=3+32=92

The value of f(3)=92 .

Since the value of x (=0) is less than 2, substitute 0 for x in the function f(x)=312x

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