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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 29-32, find the domain and range of the function.

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

To determine

To calculate: The domain and range of the function f(x,y)=1x2y2.

Explanation

Given Information:

The provided function is f(x,y)=1x2y2.

Calculation:

Consider the function

f(x,y)=1x2y2

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.

Since, the quantity inside the radical always positive.

1x2y20

Subtract 1 from both sides.

x2y21

Multiply 1 each side

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