Question

What is the exponential function modeled by the following table? x f(x) 2 10 3 28 4 82 f(x) = 2x f(x) = 2x + 1 f(x) = 3x f(x) = 3x + 1

A f(x) = 2x
B f(x) = 2x + 1
Cf(x) = 3x
D f(x) = 3x + 1

Answer 1

D f(x) = 3x + 1

Explanation:

Answer 2

The given table is
x 2 3 4;
f(x): 10 28 82

Note:
The equations were mistyped. They should read as follows:
A)
`f(x) = 2^(x)`
B)
`f(x)=2^(x)+1`
C)
`f(x)=3^(x)`
D)
`f(x)=3^(x)+1`

Answer:
The correct answer is D.

Verify the answer.
When x=2,
`3^(2)+1 =9+1=10` CORRECT
When x=3,
`3^(3)+1=27+1=28` CORRECT
When x=4,
`3^(4)+1=81+1=82` CORRECT