The function f(x) = ax^r satisfies f(2) = 1 and f(32) = 16. Find r.
a (2)^r = 1 (1)
a(32)^r = 16 (2)
Divide (2) by (1)
(32/2)^r = 16
16^r = 16
r = 1
[ Note that a = 1/2 ]