Question

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

(1, 4)

(3, 164)

(−1, 4)

(0, 14)

Answer 1

(-1, 4)

Explanation:

Answer 2

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)