Question

The formula for the volume of a cylinder with a height of 5 units is V(r)=(5)(pi)(r^2) where r is the radius of the cylinder. What is the domain and range of this function?

Answer 1

The domain is all real numbers and the range is all real numbers greater than or equal to 0.

Answer 2

D=(-∞,∞) Range = [0, ∞)

Explanation:

V(r) =5πr²

Firstly we have to work with π as ≈ 3.14 so that we can make it better, by doing this we reveal it more clearly its quadratic form

V(r)= 15.71r²

As there is no restriction algebraically speaking. The Domain is all the Real Line. This is a Total Function.

As for the Range, since any negative value plugged into x² will turn into a positive one we'll only have positive results for y to each entry of x. So the Range is f(x) ≥0

As you can check it below.