# The equation defines y as a function of x or not. ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071 ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 2.2, Problem 60E
To determine

## The equation defines y as a function of x or not.

Expert Solution

Here, y is not function of x .

### Explanation of Solution

Given information : The equation is x2+(y1)2=4 .

Concept used : If y has only one value for each value of x , then y can be called as the function of x

Calculation :

x2+(y1)2=4x2+y2+12y=4y22y+x2+14=0y22y+x23=0y=2±44(x23)2

Thus, the above equation is a rule that gives two value of y for each value of x .

Hence, y is not a function of x .

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