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

Identify the exponential function graph below Which of the following is the equation for this graph A fxtex3xtex2 B fxtex4x 2tex C fxtex4x2tex Dfxtex4x2 2tex class=

Respuesta :

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.

[tex]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}[/tex]

D is the solution.