Question

f(x) = 2/x^2-2x-3

Graph (1 point)



Domain and Range (1 point): _____________________

x and y Intercept(s) (1 point): _____________________

Horizontal Asymptote(s) (1 point): ___________________

Vertical Asymptote(s) (1 point): ____________________

Answer 1

put denominator = 0 and factorize it
x^2-2x-3 = 0
x^2 -3x+x -3 = 0
x(x-3) +1(x-3) = 0
(x+1)(x-3) = 0
x = -1 and x = 3
thus the domain is all values of x except x = -1 and x = 3