Here is a rational function:
Find:
domain: (- infinity, infinity)
Range: (- infinity, -2)U(-2,2)U(2, infinity)
x-intercept:
y-intercept: none
roots:
Asymptotes:
For y-intercept:
Let x=0
For x-intercept:
I factor the denominator:
What is next ? >.<
There is no point in factoring the denominator. A fraction, a/b, is equal to 0 if and only if the [b]numerator, a, is equal to 0. For this function, both x and y intercepts are at (0, 0).
[/quote]What is next ? >.<[/QUOTE]
Yes, there are vertical asymptotes at x= -2 and x= 2 but the horizontal asymptote is at y= -3, not y= 3.