Question

What is the horizontal asymptote of the function f(x)=2x−5?

Answer 1

There does not exist any horizontal asymptote of the function
`f(x)=2x-5`

Step-by-step explanation:

`y=M` is a horizontal asymptote of the function
`f(x)` if either
`\lim_(x\rightarrow \infty )f(x)=M` or
`\lim_(x\rightarrow -\infty )f(x)=M`, and
`M` is finite.

Given:
`f(x)=2x-5`

`\lim_(x\rightarrow \infty )(2x-5)=\infty \\\lim_(x\rightarrow -\infty )(2x-5)=-\infty`

Therefore,

there does not exist any horizontal asymptote of the function
`f(x)=2x-5`