Alg2 Graphing Rational Functions (One More)
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This document provides a step-by-step example of graphing a rational function. It outlines the key steps as factoring the function, simplifying it to find any vertical asymptotes or holes, determining the horizontal asymptote by comparing the highest degree terms and coefficients, and creating a table of x and y values to find more points to graph the function. The example rational function has a vertical asymptote at x = -3 and a hole at the point (2,1).
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Alg2 Graphing Rational Functions (One More)
- 1. Graph
- 2. Graph Graphing a rational function: a step-by-step example
- 3. Graph Step 1: factor
- 4. Graph Step 1: factor
- 5. Graph Step 2: simplify
- 6. Graph Step 2: simplifyvertical asymptote:x = –3
- 7. Graph Step 2: simplifyHole:( 2, 1) vertical asymptote:x = –3How to find the y-coordinate:
- 8. Graph Step 3: Horizontal asymptoteLook at highest-degree termsSame degreeCompare leading coefficientsHorizontal asymptote:
- 9. Graph Step 4: Find more points by making a table of valuesx y-6-5-4-3-2-1011/39/27/1VA-3/1-1/21/3