Question

Graph the function f(x) = x2 + 5x − 6 / x + 1 showing all the key features.

Answer 1

the attached image shows the graph for given equation.

Explanation:

We are given the following equation in the question:

`f(x) = x^2 + 5x - \displaystyle(6)/(x) + 1`

The attached image shows the graph for the given equation.

We could plot this graph by finding the coordinated for different values of x.

Vertical asymptotes:

`x = 0`

There are no horizontal asymptotes.

Some points on graph are:

(-3,-3), (-2,-2), (-1,3), (1,1), (2,12), (3,23)