Determine the asymptotes of the following rational function: f(x) = (x + 3) / (x - 2) a. Vertical: y = 1...

Question

10. Determine the asymptotes of the following rational function:
f(x) = (x + 3) / (x - 2)
a. Vertical: y = 1
Horizontal: x = 2
b. Vertical: x = 2
Horizontal: y = 1
c. Vertical: y = 2
Horizontal: x = 1
d. Vertical: x = 1
Horizontal: y = 2

SnapAndSolve AI · Accepted Answer

The vertical asymptote occurs where the denominator is zero, which is at x = 2.
The horizontal asymptote is determined by the degrees of the numerator and the denominator. Since both are of degree 1, the horizontal asymptote is y = 1 (the ratio of the leading coefficients).
Therefore, the correct answer is b. Vertical: x = 2, Horizontal: y = 1.

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Determine the asymptotes of the following rational function: f(x) = (x + 3) / (x - 2) a. Vertical: y = 1...

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