# How do you graph and find the discontinuities of #(x^(1/2) +1)/(x+1) #?

##### 1 Answer

Horizontal asymptote at

Domain:

#### Explanation:

Given:

Discontinuities are caused by holes, jumps, vertical asymptotes, or specific function limitations.

This equation is a rational function in the form

Holes are found if any factors from the numerator can be canceled from the denominator. In this equation no factors can be canceled, so there are no holes.

There is a vertical asymptote at

Domain is limited due to

To graph the function you would want to know that there is a horizontal asymptote.

Rational Functions

If

If

If

If

In the example given,

To graph the function find the

Find the

Graph:

graph{(sqrt(x)+1)/(x+1) [-4.205, 15.795, -4.76, 5.24]}