Question

The formula for the volume of a cube is V(s) = s3 where s is the side length of the cube. What is the domain and range of this function?

A.) s < 0, V(s) < 0
B.) s > 0, V(s) < 0
C.) s < 0, V(s) > 0
D.) s > 0, V(s) > 0

Answer 1

The domain is all the positive values and the range is also all the positive values.

Then the answer is the option D) s>0 and V(s) > 0.

Answer 2

Option D.
`s> 0`,
`V(s)> 0`

Explanation:

we know that

The volume of a cube is equal to

`V(s)=s^(3)`

where

s is the side length of the cube

Remember that

The side length of the cube cannot be a negative number

so

`s> 0`

The domain is all real numbers greater than zero

The volume of the cube cannot be a negative number

so

`V(s)> 0`

The Range is all real numbers greater than zero