Determine whether the equation defines y as a function 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, Problem 43RE
To determine

Determine whether the equation defines y as a function x or not.

Expert Solution

The last equation is a rule that gives one value of y for each value of x ,

So it defines y as a function of x .

Explanation of Solution

Given information: consider the equation x3y3=27

Calculation:

Now solve y in terms of x gives,

y3=x327y=x3273

The last equation is a rule that gives one value of y for each value of x ,

So it defines y as a function of x .

Thus, write the function as y=x3273

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