Question

Which points are on the graph of k(x)=(1/4)^x?


(1, 4)

(3, 164)

(−1, 4)

(0, 14)

Answer 1

Given:  k(x) = (1/4)^x

Try x=1:  k= (1/4)^1 = 1/4   => (1,1/4)  Incorrect
Try x=3: k= (1/4)^3 = 1^3/4^3 = 1/64  => (3, 1/64)  Incorrect
Try x=-1: k= (1/4)^-1 = (4/1)^1 = 4  =>  (-1, 4)  Correct

Note that (1/4)^-1 = 1^-1/4^-1 = 1/4^-1 = 4^1 = 4

Answer:  (-1, 4)