Find a formula for the exponential function that satisfies 𝑓(0)=6 f and 𝑓(1)=18

Answer 1

f(x) = A(B^x)

Since f(0) = 6, A(B⁰) = 6.

So, A = 6

f(x) = 6(B^x)

Since f(1) = 18, 6B = 18. So, B = 3

f(x) = 6(3^x)