## anonymous one year ago could someone give me assistance with this question/

1. anonymous

The asymptote of the function f(x) = 3x + 4 is y =

2. e.mccormick

Well, an asymptote is a line it does not cross. Is there any line that does not cross?

3. e.mccormick

Well... vertical ones it does not cross. Here is a better definition: https://www.mathsisfun.com/algebra/asymptote.html

4. Nnesha

I guess you have to find horizontal asy. for $$\color{green}{\rm Vertical~ asy.}$$ set the denominator equal to zero and then solve for the variable. for$$\color{green}{\rm Horizontal ~asy.}$$ focus on highest degrees ~if the highest degree of the numerator is greater than the denominator then No horizontal asy. $\color{reD}{\rm N}>\color{blue}{\rm D}$ example $\large\rm \frac{ 7x^\color{ReD}{3} +1}{ 4x^\color{blue}{2}+3 }$ ~if the highest degree of the denominator is greater than the highest degree of the numerator then y=0 would be horizontal asy. $\rm \color{reD}{N}<\color{blue}{\rm D}$ example:$\large\rm \frac{ 7x^\color{red}{2}+1 }{ 4x^\color{blue}{3}+3 }$ ~if both degrees are the same then divide the leading coefficient of the numerator by the leading coefficient of the denominator $\rm \color{red}{N}=\color{blue}{D}$ $\large\rm \frac{ 8x^\color{reD}{3}+1 }{ 4x^\color{blue}{3}+3 }$ $\rm \frac{ 8x^3 }{ 4x^3 } =2$ horizontal asy. =2

5. Nnesha

Slant asy when the highest degree of the denominator is one less than the highest degree of the numerator. don't know about oblique i guess slant and oblique both are the same hmmm? not sure

6. e.mccormick

Yes, oblique and slant are the same. But what he gave was a line... so not sure what would apply.

7. Nnesha

ohh cool. thanks