Question

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

Answer 1

ANSWER

y=7

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.