Question

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

Answer 1

Answer:

D

Step-by-step 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.

$A. f(x)=3^{0}-2\\f(x) = 1 - 2 = -1\\\\B. f(x)=4^{0} -2\\f(x) = 1-2 = -1\\\\C. f(x)=4^{0-2}\\f(x) = 4^{-2} = \frac{1}{16}\\\\D.f(x)=4^{0-2} +2\\f(x) = 4^{-2} + 2 = 2\frac{1}{16}$

D is the solution.