Question

Given: f(x)= 2/x+1 -3

1. Give the equations of the asymptotes of f(x).
2.Find the x- and y-intercepts of f(x).
3.Sketch the graph of f(x) in your ANSWER BOOK, clearly showing the asymptotes and the intercepts with the axes.
4. One of the axes of symmetry of f(x) is a decreasing function. Write down the equation of this function.
5. Determine the Domain
6. Determine the Range​

Answer 1

Explanation:

`y=(2)/(x+1)-3`

asymptotes:

x+1 = 0

x = -1

y = -3

asymptotes: x = -1, y = -3

x int:
`(-(1)/(3), 0)`

y int: (0, -1)

D: (-infinity, -1) (-1, infinity) x cannot be -1

R: (-infinity, -3) (-3, infinity) y cannot be -3