Question

Which function has a horizontal asymptote equal to 2?

f(x) = 4 ⋅3^ x + 2
f(x) = 3 ⋅2^ x + 4
f(x) = 2 ⋅5^ x + 3
f(x) = 5^2x + 1

Answer 1

`f(x) = 4( {3}^(x) ) + 2`

Step-by-step explanation

The exponential function in the form

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

has a horizontal asymptote of

`y = c`

The given exponential function is:

`f(x) = 4( {3}^(x) ) + 2`

The horizontal asymptote is therefore

`y = 2`