Question

The exponential function modeled by the following table?

x f(x)
2 9
3 27
4 81
A: f(x) = x3
B: f(x) = 3x
C: f(x) = x2 + 5
D: f(x) = 2x + 5

Answer 1

`f(x)=3^x`

Explanation:

From the table;

When x=2,
`y=9=3^2`

When x=3,
`y=27=3^3`

When x=4,
`y=81=3^4`

We can infer from the pattern that;

`f(x)=3^x`