# How do you graph #y=(4-x)/(5x^2-4x-1)# using asymptotes, intercepts, end behavior?

##### 1 Answer

Nov 10, 2016

The vertical asymptotes are

The horizontal asymptote is

There is no slant asymptote:

The intercepts are

#### Explanation:

Let's factorise the denominator

As you cannot divide by

As the degree of the numerator is

So

The intercepts are

x-axis when

and y-axis when

graph{(4-x)/(5x^2-4x-1) [-20.27, 20.27, -10.15, 10.15]}