Consider the rational function defined by $f(x)=\frac{x^{2}-2 x-3}{x^{2}+2 x-8}$. Determine the answers to (a) - (e) analytically:
(a) Equations of the vertical asymptotes
(b) Equation of the horizontal asymptote
(c) $y$-intercept
(d) $x$-intercepts, if any
(e) Coordinates of the point where the graph of $f$ intersects its horizontal asymptote. Now sketch a comprehensive graph of $f$.

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The Answer of Consider the rational function defined by $f(x)=\frac{x^{2}-2 x-3}{x^{2}+2 x-8}$. Determine the answers to (a) - (e) analytically:
(a) Equations of the vertical asymptotes
(b) Equation of the horizontal asymptote
(c) $y$-intercept
(d) $x$-intercepts, if any
(e) Coordinates of the point where the graph of $f$ intersects its horizontal asymptote. Now sketch a comprehensive graph of $f$.

Consider the Rational Function Defined By f(x)=x2−2x−3x2+2x−8f(x)=\frac{x^{2}-2 x-3}{x^{2}+2 x-8}f(x)=x2+2x−8x2−2x−3​ Determine the Answers to (A) - (E) Analytically: (A)

Consider the Rational Function Defined By $f(x)=\frac{x^{2}-2 x-3}{x^{2}+2 x-8}$ Determine the Answers to (A) - (E) Analytically:
(A)