Maths-
General
Easy
Question
Which function has a graph with a horizontal asymptote at y = -1.
- Non of the above
Hint:
- If both the polynomials have the same degree, divide the coefficients of the leading terms. This is your asymptote.
- If the degree of the numerator is less than the denominator, then the asymptote is located at y = 0 (which is the x-axis).
- If the degree of the numerator is greater than the denominator, then there is no horizontal asymptote.
The correct answer is:
a) Horizontal asymptote is given by
As both the polynomials have the same degree, divide the coefficients of the leading terms.
y = 
= 1
b) Horizontal asymptote is given by
As both the polynomials have the same degree, divide the coefficients of the leading terms.
y =
= -1
c) Horizontal asymptote is given by
As both the polynomials have the same degree, divide the coefficients of the leading terms.
y = = 1
Therefore function
b. 
has horizontal asymptote at y = -1.
= 1b) Horizontal asymptote is given by
As both the polynomials have the same degree, divide the coefficients of the leading terms.
y =
= -1c) Horizontal asymptote is given by
As both the polynomials have the same degree, divide the coefficients of the leading terms.
y =
= 1Therefore function
b.
has horizontal asymptote at y = -1.Related Questions to study
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