Given the function:
f(x) = (7x^2 - 2x + 3) / (14x^2 + 5x - 8)
Identify the horizontal asymptote.
a. y = 1/2
b. y = -2/5
c. y = 14/7
d. y = 7

Question

Given the function: f(x) = (7x^2 - 2x + 3) / (14x^2 + 5x - 8) Identify the horizontal asymptote. a. y = 1/2 b. y = -2/5 c. y = 14/7 d. y = 7

SnapAndSolve AI · Accepted Answer

The horizontal asymptote of a rational function is determined by comparing the degrees of the numerator and the denominator. Here, both the numerator and the denominator have the same degree (2).

When the degrees are equal, the horizontal asymptote is the ratio of the leading coefficients. The leading coefficient of the numerator is 7, and the leading coefficient of the denominator is 14.

Therefore, the horizontal asymptote is y = 7/14 = 1/2.

a. y = 1/2

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Given the function: f(x) = (7x^2 - 2x + 3) / (14x^2 + 5x - 8) Identify the horizontal asymptote. a. y = 1/2...

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