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8.3 Rational Functions and Their Graphs - [x] Remove frame
8.3 Rational Functions and Their Graphs - [x] Remove frame
8.3 Rational Functions and Their Graphs - [x] Remove frame
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<strong>8.3</strong> <strong>Rational</strong> <strong>Functions</strong> <strong>and</strong> <strong>Their</strong> <strong>Graphs</strong>Removable discontinuity: a hole in the graph (cancels)Non-removable discontinuity: vertical asymptote (doesn’t cancel)Find the domain, points of discontinuity,<strong>and</strong> x- <strong>and</strong> y- intercepts of each rationalfunction. Determine whether thediscontinuities are removable or nonremovable.1.) y = Find the vertical asymptotes <strong>and</strong> holes forthe graph of each rational function.2.) y = Horizontal asymptote: y = 0 if degree of numerator is smaller than degree of denominator none if degree of numerator is bigger than degree of denominator y = a if degree of numerator <strong>and</strong> denominator are equal (a is leading coefficient ofbnumerator <strong>and</strong> b is leading coefficient of denominator)
Find the horizontal asymptote of the graph of each rational function.3.) y = 4.) y =
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