Question

An exponential function f(x)=ab^x passes through points (0,5) and (3,1715). What are values of a and b?

Answer 1

Explanation:

f(x) = abx

Use the 2 given points to find a and b.

(0,3):

3 = ab0 ⇒ a = 3

(2,27):

27 = 3b2 ⇒ 9 = b2 ⇒ b= 3

f(x) = 3(3x)