# What are the asymptotes for #y=3/(x-1)+2# and how do you graph the function?

##### 1 Answer

**Vertical Asymptote is at**

**Horizontal Asymptote is at**

**Graph of the rational function** is available with this solution.

#### Explanation:

We are given the **rational function**

We will simplify and rewrite

Hence,

**Vertical Asymptote**

Set the **denominator** to Zero.

So, we get

Hence,

**Vertical Asymptote is at**

**Horizontal Asymptote**

We must **compare the degrees of the numerator and denominator** and verify whether they are equal.

To compare, we need to deal with **lead coefficients. **

The **lead coefficient of a function** is the number in front of the term with the highest exponent.

If our function has a **horizontal asymptote at**

where **numerator**, and

**denominator.**

Hence,

**Horizontal Asymptote is at**

Graph of the **rational function** with the **horizontal asymptote** and the **vertical asymptote** can be found below:

I hope you find this solution with the graph useful.