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Chapter 2: Q. 28 (page 69)

Determine whether the equation defines y as a function of x.

y=x3

Short Answer

Expert verified

The given equation is a function.

Step by step solution

01

Step 1. Given information

In the given question we have to determine whether the equation defines y as a function of x.

y=x3

02

Step 2. The given equation is y=x3

The equation tells us to take an input xand find their square.

For any input x, these operations yield only one output y.

03

Step 3. For example, 

If x=1, then y=(1)3=1.

If x=1, then y=(2)3=8.

For this reason, the equation is a function.

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