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To find: Analyzing the graph of polynomial function .
Step 1: Factor the numerator and denominator of . Find the domain of the rational number.
Step 2: Write in the lowest term.
Step 3: Find and plot the intercepts of the graph. Use multiplicity to determine the behavior of the graph of at each .
Step 4: Find the vertical asymptotes. Graph each vertical asymptote using a dashed line. Determine the behavior of the graph of on either side of each vertical asymptote.
Step 5: Find the horizontal or oblique asymptote, if one exists. Find points, if any, at which the graph of intersects this asymptote. Graph the asymptote using a dashed line. Plot any points at which the graph of intersects the asymptote.
Step 6: Use the zeros of the numerator and denominator of to divide the into intervals. Determine where the graph of is above or below the by choosing a number in each interval and evaluating there. Plot the points found.
Step 7: Use the results obtained in Steps 1 through 6 to graph .
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Chapter 5 Solutions
College Algebra Enhanced with Graphing Utilities (7th Edition) (Sullivan Enhanced with Graphing Utilities Series)
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