Question

Graph the rational function:
f(x)=x+1 / −4

Answer 1

A graph of the function
`f(x) = (x+1)/(x-4)` with its vertical and horizontal asymptotes is shown in the image below.

In Mathematics and Euclidean Geometry, a rational function is a type of function which is expressed as a fraction that is composed of two main parts and these include the following:

• Numerator
• Denominator

Based on the information provided above, we can logically deduce the following rational function;

`f(x) = (x+1)/(x-4)`

In order to graph any rational function, you should determine the values for which it is undefined. This ultimately implies that, a function is considered as undefined when the value of the denominator is equal to zero, which represents vertical asymptote lines;

x - 4 = 0

x = 4 + 0

x = 4 (vertical asymptote)

Horizontal asymptote: y = 1 (since the degree of the denominator is the same with that of the numerator).

Complete Question:

Graph the rational function:

`f(x) = (x+1)/(x-4)`