Respuesta :

The horizontal asymptote is y = 0. 

Answer:

No asymptote exist or y=0.

Step-by-step explanation:

Given : Function [tex]f(x) = 3x + 4[/tex]

To find : The asymptote of the function?

Solution :

We have given the function [tex]f(x) = 3x + 4[/tex] is a linear function.

A linear function is in the form [tex]f(x)=mx+b[/tex]

Asymptote is a line that the graph of a function approaches but never touches.

As in the linear function it could have a finite limit as x approaches infinity if the slope is zero then there exist a  horizontal asymptote at y = b.

But in the given function [tex]f(x) = 3x + 4[/tex]

There is no asymptote exist as slope is not zero.

Therefore, There is no asymptote or y=0.