How do you find the horizontal asymptotes?
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.
Can you have 3 horizontal asymptotes?
The answer is no, a function cannot have more than two horizontal asymptotes.
How do you find the degree of the numerator and denominator?
The degree of the numerator is equal to the degree of the denominator means that the horizontal asymptote is at y = leading coefficient of the numerator over lead coefficient of the denominator leading coefficient of the numerator leading coefficient of the denominator .
Can a function have 3 vertical asymptotes?
You may know the answer for vertical asymptotes; a function may have any number of vertical asymptotes: none, one, two, three, 42, 6 billion, or even an infinite number of them!
How do you identify vertical and horizontal asymptotes?
To find the horizontal asymptotes apply the limit x→∞ or x→ -∞. To find the vertical asymptotes apply the limit y→∞ or y→ -∞. To find the slant asymptote (if any), divide the numerator by denominator.
How do you find vertical and horizontal asymptotes?
How do you find vertical and horizontal asymptotes in calculus?
How to determine the horizontal Asymptote? If the degree of x in the numerator is less than the degree of x in the denominator then y = 0 is the horizontal asymptote. If the degree of x in the numerator is equal to the degree of x in the denominator then y = c where c is obtained by dividing the leading coefficients.
How do you find a vertical asymptote?
Vertical asymptotes can be found by solving the equation n(x) = 0 where n(x) is the denominator of the function ( note: this only applies if the numerator t(x) is not zero for the same x value).
How many horizontal asymptotes are there?
A function can have at most two different horizontal asymptotes. A graph can approach a horizontal asymptote in many different ways; see Figure 8 in §1.6 of the text for graphical illustrations.
What is the horizontal asymptote of mc001 1 JPG?
Hence, we can conclude that the answer is y = -2.