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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.

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.

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