Identify the exponential function graph below. Which of the following is the equation for this graph? A. f(x)=3^(x)-2 B. f(x)=4^(x) -2 C. f(x)=4^(x-2) D.f(x)=4^(x-2) +2

Question

Identify the exponential function graph below. Which of the following is the equation for this graph?

A. f(x)=
`3^(x)`-2
B. f(x)=
`4^(x) -2`
C. f(x)=
`4^(x-2)`
D.f(x)=
`4^(x-2) +2`

Answer 1

D

Explanation:

The graph below crosses the y-axis about 2. This means when x = 0, y is about 2. Substitute x = 0 into each equation and solve for y.

`A. f(x)=3^(0)-2\\f(x) = 1 - 2 = -1\\\\B. f(x)=4^(0) -2\\f(x) = 1-2 = -1\\\\C. f(x)=4^(0-2)\\f(x) = 4^(-2) = (1)/(16)\\\\D.f(x)=4^(0-2) +2\\f(x) = 4^(-2) + 2 = 2(1)/(16)`

D is the solution.