Question

This table shows several values of an exponential function.
x f(x)
0 5
1 30
2 180
Write an equation for the function in the form f(x)=a(b)x.
Use whole numbers, decimals, or simplified fractions for the values of a and b.
f(x)=

Answer 1

f(x) = 5·6^x

Explanation: a = f(0) = 5, and b = f(1)/f(0) = 30/5 = 6, so f(x) = 5(6)^x.