Question

What exponential function represents the data in the table?

x f(x)
2 25
3 125
4 625
(1 point)


f(x) = x4 + 9
f(x) = 4x + 9
f(x) = x5
f(x) = 5x

Answer 1

substitute the x value and see what happens

choice 5 f(x) = x^5 so if x = 2 (from the table) f(2) = 2^5 = 32

doesn't match the table value of 25.... so eliminate choice 3

try choice 4

f(2) = 5(2) = 10

doesn't match the table so eliminate choice 4

leaves you 1 and 2...

so when you substitute x = 2 which gives an answer of 25...