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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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Finding the Domain and Range of a Function In Exercises 15-30, find the domain and range of the function. See Example 2.

z = 4 x 2 y 2

To determine

The domain and range of the function z=4x2y2.

Explanation

Given Information:

For the function z=4x2y2,xandy are independent variables and z is the dependent variable.

Domain represents the set of values for which the function exists and range represents the set of output values of the function starting from minimum value to the maximum value.

Thus, first observe the domain of the function then correspondingly find its range.

Consider the given function,

z=4x2y2

As quantity inside the root must be non-negative so 4x2y20

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