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

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