9
QuizMultiple Choice

Unit Test — Unit test

Question 9 • TX-Pre-Calculus

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?

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

Explanation

A cube’s side length must be positive, so the domain is s > 0. Cubing a positive number gives a positive volume: for example, if s = 2, then V(2) = 2³ = 8. Therefore, the range is V(s) > 0, matching “s > 0, V(s) > 0.”

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