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

Verified Answer :

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:

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

Step-by-step 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