# How do you graph #y=5+3/(x-6)# using asymptotes, intercepts, end behavior?

##### 1 Answer

#### Answer:

Vertical asymptote is 6

End behaviour (horizontal asymptote) is 5

Y intercept is

X intercept is

#### Explanation:

We know that the normal rational function looks like

What we have to know about this form is that it has a horizontal asymptote (as x approaches

Next we have to know what the translation form looks like

C~Horizontal translation, the vertical asympote is moved over by C

D~Vertical translation, the horizontal asympote is moved over by D

So in this case the vertical asymptote is 6 and the horizontal is 5

To find the x intercept set y to 0

So you have the co-ordiantes

To find the y intercept set x to 0

So we get the co-ordiantes

So sketch all of that to get

graph{5+3/(x-6) [-13.54, 26.46, -5.04, 14.96]}