9.2 graphing simple rational functions
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This document provides instructions for graphing rational functions without making a table. It explains that the graph is a hyperbola made of two symmetrical branches. It outlines steps to sketch the asymptotes and plot points to draw the branches, being careful not to cross the asymptotes. The steps are to sketch the asymptotes, choose x-values on each side to plug into the function, plot the points, and draw the branches without crossing the asymptotes.
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9.2 graphing simple rational functions
- 2. The graph of a simple rational function is called a hyperbola. Graph is made of two symmetrical parts called branches.
- 3. To graph without making a table: 1. Sketch in the asymptotes: x = h and y = k 2. Choose two x values on each side of the vertical asymptote. 3. Plug them in and plot the 4 points. 4. Draw in the branches. (Be sure not to cross the asymptotes!)
- 4. Graph State the domain and range.
- 5. Graph State the domain and range.
- 6. Some rational functions have the form Verticalasymptote is at the x value that makes the denominator = 0 Horizontal asymptote is the line
- 7. Graph State the domain and range.
- 8. Graph State the domain and range.