Question

What is the exponential function represented by the table below?

Answer 1

f(x) = 14(3/2)^x

Explanation:

The function can be written ...

f(x) = a(b^x)

where a = f(0), and b = f(1)/f(0). The table tells us ...

a = f(0) = 14

b = f(1)/f(0) = 21/14 = 3/2

The exponential function can be written ...

f(x) = 14(3/2)^x