How do you find the vertical, horizontal or slant asymptotes for $\frac{x^{2} + 3}{x^{2} - 4}$ $(x^2 + 3) / (x^2 - 4)$ ?

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How do you find the vertical, horizontal or slant asymptotes for $\frac{x^{2} + 3}{x^{2} - 4}$ $(x^2 + 3) / (x^2 - 4)$ ?

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Answer 1 · 2016-03-09T04:04:26

VA: $x = \pm 2$ $x=+-2$
HA: $y = 1$ $y=1$ graph{(x^2+3)/(x^2-4) [-7.024, 7.024, -3.51, 3.514]}

Explanation:

Vertical Asymptote: Take denominator and set it equal to 0 and solve for x. $x^{2} - 4 = 0 \to x^{2} = 4 \to x = \pm 2$ $x^2-4=0->x^2=4->x=+-2$
Horizontal Asymptote: $y= lim x->+-oo (x^2/x^2)->y=1$

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How do you find the vertical, horizontal or slant asymptotes for $\frac{x^{2} + 3}{x^{2} - 4}$ $(x^2 + 3) / (x^2 - 4)$ ?

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Explanation:

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How do you find the vertical, horizontal or slant asymptotes for (x^2 + 3) / (x^2 - 4)x2+3x2−4(x^2 + 3) / (x^2 - 4)?

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How do you find the vertical, horizontal or slant asymptotes for $\frac{x^{2} + 3}{x^{2} - 4}$ $(x^2 + 3) / (x^2 - 4)$ ?