A rational function has vertical asymptote at x = 4 and horizontal asymptote at y = 2. Which equation could it be?

y = \frac{2x + 1}{x - 4} Vertical asymptote x = 4 means denominator is zero at x = 4, so x - 4. Horizontal asymptote y = 2 means leading coefficient ratio is 2.

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Acemy

Nonlinear Functions

SAT Math· difficulty 4/5

x = 4

A
$y = \frac{2x + 1}{x - 4}$
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B
$y = \frac{2}{x + 4}$
C
$y = \frac{x + 4}{2x}$
D
$y = \frac{x - 4}{2x + 1}$

Explanation

x = 4

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