Without a calculator match each function with its graph AF b

Without a calculator, match each function with its graph A-F by finding the zeros, asymptotes, and end behavior for each function y=-1/x-5 -1 y = x-2/(x+1)(x-3) y = 2x+4/x-1 y=1/x+1 + 1/x-3 y=1-x^2/x-2 + 3 y=1-4x/2x+2

Solution

1) y = -1/(x-5) -1

= ( -1 -x +5)/(x-5) = (-x+4)/(x-5)

zero ; x= 4 ; asymtote at x= 5

Option F

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

zeros ; x= -2 ; asymtote : x= -1 , 3

Option B

3) y = (2x +4)/(x -1)

zero at x= -2 ; asymtote at x= 1

Option A

4) y = 1/(x+1) +1/(x-3)

zero at x= 1 ; asymtote : x= -1 , 3

Option D

5) y = (1-x^2)/(x-2) + 3

No zeros, asymtote at x= 2

Option E

6) y = (1- 4x)/(2x +2)

zero at x= 1/4

asymtote : x= -1

Option C