Question

What is the equation of the horizontal asymptote? f(x)=4⋅2^x−5

Question options:

y=0

y=4

y=−5

y=2

Answer 1

`y = - 5`

Step-by-step explanation

The horizontal asymptote of a general exponential function,

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

is y=c.

The given exponential function is

`f(x) = 4{(2)}^(x) - 5`

By comparing the given function to

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

we have c=-5, therefore the horizontal asymptote is

`y = - 5`