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f(x) =
6x cubed + 5x squared + 10 over 2x squared - 9
6x3 + 5x2 + 10
2x2 – 9
f(x) =
x over x squared - 1
x
x2 – 1
f(x) =
(2x - 1)(2x + 1) over 4x squared + 4x + 1
(2x – 1)(2x + 1)
x2 + 1
f(x) =
x sqaured over x squared + 7x + 12
x2
x2 + 7x + 12
f(x) =
x sqaured + 5x + 6 over (2x + 1)(2x - 1)
x2 + 5x + 6
(2x + 1)(2x – 1)
f(x) =
x over x squared - 1
(x − 1)
(x2 − 1)
This rational function has no horizontal asymptote.
This rational function has a horizontal asymptote at y = 0.
This rational function has a horizontal asymptote at y = 4.
This rational function has a vertical asymptote at x = -3.
This rational function has a vertical asymptote at x =
1 over 2
1
2
.
This rational function has a hole in the graph at x = 1.