Find the equation of the exponential function represented by the table below:

Question

X Y

0 0.2

1 0.6

2 1.8

3 5.4

Answer 1

f(x) = ab^x

0.2 = ab⁰

0.6 = ab¹ Any two pairs works

0.3 = b¹ Divide second by first

f(x) = a(0.3)²

Now use any pair to solve for a