2.5 RATIONAL FUNCTIONS DAY 2 Learning Goals – Graphing a rational function with common factors.

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Presentation transcript:

2.5 RATIONAL FUNCTIONS DAY 2 Learning Goals – Graphing a rational function with common factors.

Warm-up Given the Rational Function, Find the domain Find the vertical asymptote(s) Find the horizontal asymptotes Find the y-intercept Find the x-intercept(s) Sketch the graph

Warm-up Given the Rational Function, Find the domain Find the vertical asymptote(s), x = 0, x = 5, x = -2 Find the horizontal asymptotes y = 0 Find the y-intercept None Find the x-intercept(s) x = -6, x = -4 Sketch the graph Test Point (-5, 1/150)

Graphing Rational Functions with Common Factors Similar to 2.5 Day 1. **New** Factor the Numerator and Denominator completely. **New** Check for Common Factors and Simplify THIS FACTOR WILL LEAVE A REMOVABLE DISCONTINUITY, OR HOLE AT X=C!!! Continue as before – Vert. and Horz. Asymptotes, Zeros, Test Intervals, Find Critical Points, if needed. Mark the hole. Homework – 138: 7, 8, 22, 26, 28