Question

The maximum walking speed (in feet per second) of a large animal can be modeled by the equation S = sqrt(gL) where S = speed in feet per second, g = a constant rate of 32 feet per second, and L = the length of one leg of the animal, in feet.
What domain makes sense for the function S(L) = sqrt(gL)

A. L is any real number
B. 0 < L <= 32
C. L > 0
D. L >= 32

What range makes sense for the function S(L) = sqrt(gL)?

A. 0 < S <= 32
B. S => 32
C. S > 0
D. S is any real number

Please help me!! And thank you :)

Answer 1

1. The domain of a sqrt(x) is x > 0. So, L > 0.
2. The range of a S(x) = sqrt(x) is S(x) > 0 for all valid x > 0.