Given the function:
f(x) = (9x^2 + 6x - 4) / (3x^2 - x + 10)
Identify the horizontal asymptote.
a. y = 3
b. y = 1/3
c. y = 10/3
d. y = 9/10

Question

Given the function: f(x) = (9x^2 + 6x - 4) / (3x^2 - x + 10) Identify the horizontal asymptote. a. y = 3 b. y = 1/3 c. y = 10/3 d. y = 9/10

SnapAndSolve AI · Accepted Answer

The horizontal asymptote of a rational function is determined by the degrees of the polynomials in the numerator and the denominator. If the degrees are the same, the horizontal asymptote is the ratio of the leading coefficients.

Here, both the numerator and the denominator are of degree 2. The leading coefficient of the numerator is 9, and the leading coefficient of the denominator is 3.

Therefore, the horizontal asymptote is y = 9/3 = 3.

a. y = 3

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Given the function: f(x) = (9x^2 + 6x - 4) / (3x^2 - x + 10) Identify the horizontal asymptote. a. y = 3 b....

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