Question

What condition causes an oblique asymptote? Give an example of a function that would have an oblique asymptote.

Answer 1

If you have a rational function (a fraction of two polynomials) where the degree of the numerator is larger than the degree of the denominator, then you will have a graph with an oblique asymptote.

Answer 2

for example, the function

\[\Large f(x) = \frac{2x^2 + 3x + 5}{x-7}\]

has an oblique asymptote because the degree of the numerator (2) is larger than the degree of the denominator (1)

Answer 3

ok, makes sense thanks

Answer 4

yw