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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.

f ( x , y ) = x 2 + y 2 1

To determine

To calculate: The domain and range of the function f(x,y)=x2+y21.

Explanation

Given Information:

The provided function is f(x,y)=x2+y21.

Calculation:

Consider the function

f(x,y)=x2+y21

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.

The function exists for all values of x and y domain and range is

x2+y210x>1or y>1x2+y

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