Question

Sketch the asymptote and graph the function y=8/(x+3)-2

Answer 1

I dont know if we have the same assesmemt or not tue anwser would be option D

Answer 2

Please find the attached file.

Explanation:

Given:
`y=(8)/(x+3)-2`

We need to draw the graph of function with asymptote.

For horizontal asymptote:-

`x\rightarrow \infty`

`y=\lim_(x\rightarrow \infty)((8)/(x+3)-2)=-2`

HA: y=-2

For vertical asymptote:-

`y\rightarrow \infty`

`x+3=0`

VA: x=-3

For x-intercept, Put y=0

(1,0)

For y-intercept, Put x=0

(0,2/3)

Now we will plot on graph and draw the graph.

Please see the attachment for graph.