8.3 Graphing Rational Functions

# 8.3 Graphing Rational Functions - You graphed reciprocal...

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You graphed reciprocal functions. Graph rational functions with vertical and horizontal asymptotes. Graph rational functions with oblique asymptotes and point discontinuity.

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rational function vertical asymptote horizontal asymptote oblique asymptote point discontinuity

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Graph with No Horizontal Asymptote Step 1 Find the zeros. x 3 = 0 Set a ( x ) = 0. x = 0 Take the cube root of each side. There is a zero at x = 0.
Graph with No Horizontal Asymptote Step 2 Draw the asymptotes. Find the vertical asymptote. x + 1 = 0 Set b ( x ) = 0. x = –1 Subtract 1 from each side. There is a vertical asymptote at x = –1. The degree of the numerator is greater than the degree of the denominator. So, there is no horizontal asymptote.

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Graph with No Horizontal Asymptote Step 3 Draw the graph. Use a table to find ordered pairs on the graph. Then connect the points.
Graph with No Horizontal Asymptote Answer:

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A. B. C. D.
Use Graphs of Rational Functions A. AVERAGE SPEED A boat traveled upstream at r 1 miles per hour. During the return trip to its original

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