Find all fixed points for the function by setting the function equal to x and solving the resulting equation for x.
-A rock falls from a tower that is 464 feet high. As it is falling, its height is given by the function $h ( t ) = - 16 t ^ { 2 } + 464 t$
A) 21.2 seconds
B) 5.4 seconds
C) 21.5 seconds
D) 13,456 seconds

Question

Quizplus · Accepted Answer

To find the fixed points, we set $h(t) = t$, but this is incorrect for this context. The correct approach is to find when the rock hits the ground, i.e., when $h(t) = 0$. Solving $-16t^2 + 464 = 0$ gives $t = 5.4$ seconds.

Find All Fixed Points for the Function by Setting the Function