Question

What is the asymptote of the function g(x) = 5⋅2^3x + 4 shown on the graph?

A)y=0

B)y=3

C)y=4

D)y=5

Answer 1

c. y =4 is the correct anwser

Answer 2

C)
`y=4`

Explanation:

An exponential function of the form
`y=a(b^x)+c` has a horizontal asymptote of
`y=c`.

The given function is
`g(x)=5(2^(3x))+4`.

The graph of the given function is shown in the attachment.

From the graph the horizontal asymptote is
`y=4`