Finding Asymptotes For the rational functions given,
.
Factor (if possible) to identify more easily the zeros of the numerator and denominator.
Then, list the values of x at which the function is undefined, and use these to describe the function's
domain.
Finally, decide which of these values denote removable discontinuities (RD), vertical asymptotes (VA),
and horizontal asymptotes (HA).
Find the x- and y-intercepts.
2x-5
- 2x + 12
f(x) =
f(x)=
1)
2)
x2 - 6x
.
x + 5
Factored
Factored:
Undefined at:
Undefined at:
Domain
Domain
RD:
RD:
VA
VA
НА:
НА:
x-intercept(s):
y-intercept:
X-intercept(s):
y-intercept:
f(x)
x2 - 2x - 24
x2 -5x - 24
f(x) =
X² -9,
x? - 7x+12
3)
4)