Question

What is the equation of the horizontal asymptote? f(x)=4(52)x+7
y=?

Answer 1

y=7

Step-by-step explanation

The horizontal asymptote of an exponential function

`f(x)= a {(b)}^(x) + c`

is y=c.

The given exponential function is

`f(x)= 4 {(52)}^(x) + 7`

When we compare to

`f(x)= a {(b)}^(x) + c`

c=7, therefore the horizontal asymptote is y=7.