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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

Find the domain and range and sketch the graph of the function h ( x ) = 4 x 2 .

To determine

To find: The domain and range of the function, and sketch the graph of the function.

Explanation

Given:

The function h(x)=4x2 .

Calculation:

The domain is the set of all input values of the function for which the function is real and defined.

Consider the expression 4x2 .

Since 4x20 , the undefined points are obtained as follows:

4x22|x|2x2

Thus, the solutions are, x=2 and x=2 .

Hence, the function is undefined for x=2 and x=2 .

Therefore, the domain of the function is [2,2]

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