How do you find the horizontal asymptote of a function?
Another way of finding a horizontal asymptote of a rational function: Divide N(x) by D(x). If the quotient is constant, then y = this constant is the equation of a horizontal asymptote.
What is the horizontal asymptote of square root function?
Consider the rational function R(x)=axnbxm R ( x ) = a x n b x m where n is the degree of the numerator and m is the degree of the denominator. 1. If nline y=ab y = a b .
How do you find the horizontal asymptote of a line?
The horizontal asymptote of a rational function can be determined by looking at the degrees of the numerator and denominator.
- Degree of numerator is less than degree of denominator: horizontal asymptote at y = 0.
- Degree of numerator is greater than degree of denominator by one: no horizontal asymptote; slant asymptote.
What is the horizontal asymptote of mc001 1 JPG?
Hence, we can conclude that the answer is y = -2.
What is the rule for horizontal asymptote?
Horizontal Asymptotes Rules When n is less than m, the horizontal asymptote is y = 0 or the x-axis. When n is equal to m, then the horizontal asymptote is equal to y = a/b. When n is greater than m, there is no horizontal asymptote.
What is the asymptote equation?
An asymptote of the curve y = f(x) or in the implicit form: f(x,y) = 0 is a straight line such that the distance between the curve and the straight line lends to zero when the points on the curve approach infinity.
What are the 3 different cases for finding the horizontal asymptote?
There are 3 cases to consider when determining horizontal asymptotes:
- 1) Case 1: if: degree of numerator < degree of denominator. then: horizontal asymptote: y = 0 (x-axis)
- 2) Case 2: if: degree of numerator = degree of denominator.
- 3) Case 3: if: degree of numerator > degree of denominator.
Which is an asymptote of the graph of the function y tan 3 4x?
The vertical asymptotes for y=tan(3×4) y = tan ( 3 x 4 ) occur at −2π3 – 2 π 3 , 2π3 2 π 3 , and every 4πn3 4 π n 3 , where n is an integer.