Question

An exponential function f(x)=a⋅bx passes through the points (0, 4) and (2, 64). What are the values of a and b?

Answer 1

a=b=4

Explanation:

`f(x) = a\cdot b^x\\f(0) = a = 4\\f(2) = 4b^(2) = 64 \rightarrow b = 4\\ f(x) = 4 \cdot 4^x`