The length of time f(x), in seconds, that it takes a pendulum of length x meters to swing from one side to the other and back is approximated by a square root function.
7. Suppose pendulum A has a period of 20 seconds and pendulum B has a period of 15 seconds. Is pendulum B longer or shorter than pendulum A, and why?
A Longer, because the function is positive on its domain.
B Shorter, because the function is positive on its domain.
© Longer, because the function is increasing on its domain.
D Shorter, because the function is increasing on its domain.
D Shorter, because the function is increasing on its domain.
Since the function representing the time it takes for the pendulum to swing back and forth is a square root function, as the length of the pendulum increases, the time it takes to swing also increases. Therefore, since pendulum A has a longer period than pendulum B, pendulum B must have a shorter length than pendulum A.