Question

O POLYNOMIAL AND RATIONAL FUNCTIONSGraphing a rational function: Constant over linear

Answer 1

`Vertical:\:x=-4,\:Horizontal\:asymptote:\:y=0`

1) As requested we can begin this by finding the vertical asymptote, so let's pick the denominator equate that to zero and solve for x:

`x+4=0\Rightarrow x=-4`

2) Now, let's focus on finding the horizontal asymptote. Note that the degree of the numerator is "0" and the degree of the denominator is: "1" since the exponent of x is 1. Based on that, we can tell that the horizontal asymptote is y=0 coinciding over the x-axis.

3) We can plot this way:

The Blue line: x=-4 and the horizontal asymptote is y=0