Question

How do you graph `y=-22/(x+43)-17` using asymptotes, intercepts, end behavior?

Answer 1

Explained below

Explanation:

Asymptotes:

As `x->-43, y-> -oo` hence x= -43 is a vertical asymptote.

Next, as `x-> oo, y->-17`, hence y=-17 is an horizontal asymptote.

The graph will cross y-axis at point (0, -17-22/43) that is (0, -753/43)

The graph would cross x-axis at point y=0 and x coordinate would be given by `-22/(x+43) -17=0` that is 17(x+43)=-22, `x= -22/17 -43= -753/17`.
The point would thus be ( -753/17,0).The graph would look like