Question

PLEASE HELP!! I REALLY NEED THE EXTRA CREDIT! MY GRADE DEPENDS ON IT!

Answer 1

Explanation:

D: ( - ∞ , - 2 ) ∪ ( - 2 , ∞ )

R: ( - ∞ , 3 ) ∪ ( 3 , ∞ )

Asymptotes: x = - 2 , y = 3

x - int. ( x , 0 ) :

`(-1)/(x+2)` + 3 = 0

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

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

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

( - 1
`(2)/(3)` , 0 ) are coordinates of x - intercept.

y - int. ( 0 , y ) :

- 1 ÷ ( 0 + 2 ) + 3 = 2
`(1)/(2)`

( 0 , 2
`(1)/(2)` ) are coordinates of y - intercept.

Answer 2

Vertical asymptote at x=2

D: (-∞,2] ∪ [2,∞)

R: (-∞,∞)

x-int: x=-5/3

y-int: 5/3

*use the website Desmos for an image of the graph; on an exam use an x/y table to sketch*

Edit: I didn't see that there was a chart at the bottom of the pic; Desmos can still give points, but your x & y intercepts are two points, regardless

Explanation:

Asymptote: the denominator cannot equal zero

D: x cannot equal 2

R: all real numbers

x int: set y=0 and solve

y int: set x=0 and solve