exponential equation

Question

Write an exponential equation that goes through the point (0, 5) and (2, 45)

Answer 1

f(x) = C * b^x

f(0) = 5

5 = c * b^0 = c*1 = c so f(x) = 5 * b^x

45 = 5 * b^2

9 = b^2

b = 3

f(x) = 5 * 3^x