Slant Asymptote
A slant asymptote is a hypothetical slant line that seems to touch a portion of the graph. A rational function has a slant asymptote only when the degree of the numerator (a) is exactly one more than the degree of the denominator (b). In other words, the deciding condition is, a + 1 = b. For example, a slant asymptote exists for the function f(x) = x + 1 as the degree of the numerator is 1, which is one greater than that of the denominator. The general equation of slant asymptote of a rational function is of the form Q = mx + c, which is called quotient function produced by long dividing the numerator by the denominator.
Slant Asymptote Formula
A rational function is a polynomial ratio in which the denominator polynomial should not be equal to zero. It is a function that is the polynomial ratio. A rational function is any function of one variable, x, that can be expressed as f(x) = p(x)/q(x), where p(x) and q(x) are polynomials such that q(x) ≠ 0. There are three sorts of asymptotes for a rational function, that is, horizontal, vertical, and slant asymptotes.
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