Find the exponential function 𝑓(𝑥)=𝑎𝑥 whose graph goes through the point (2,16)

Question

question 6.

Find the exponential function 𝑓(𝑥)=𝑎^𝑥 whose graph goes through the point (2,16)

Answer 1

f(x) = a^x

16 = a^2

a = sqr16 = 4

f(x) = 4^x