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GRAPHING RATIONAL FUNCTIONS

Pre-Calculus/Trig Name: _____ UNIT 1: Algebra II Review SECTION 7 WORKSHEET #1 Date: _____ GRAPHING RATIONAL FUNCTIONS To Identify Types of Discontinuity: Step 1: HOLES (Removable Discontinuities) Factor numerator & denominator Simplify If anything cancels, then there is a hole (More than one factor cancels More than one hole) Find the ordered pair, ( , ), substitute x into the SIMPLIFIED EQUATION to get y Step 2: VERTICAL ASYMPTOTES (USE SIMPLIFIED EQUATION) Set simplified equation denominator = 0, solve for x Step 3: HORIZONTAL ASYMPTOTES Two Cases (USE SIMPLIFIED EQUATION) Degree of Denominator = Degree of Numerator = ratio of leading coefficients Degree of Denominator > Degree of Numerator =0 Step 4: SLANT ASYMPTOTES (Exists only if Horizontal Asympt)

GRAPHING RATIONAL FUNCTIONS To Identify Types of Discontinuity: Step 1: HOLES (Removable Discontinuities) Factor numerator & denominator Simplify If anything cancels, then there is a hole (More than one factor cancels More than one hole) Find the ordered pair, ( , ), substitute x into the SIMPLIFIED EQUATION to get y

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