In Problems 7 50, follow Steps 1 through 7 shown below to graph each function. Steps
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In Problems 7 – 50, follow Steps 1 through 7 shown below to graph each function.
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Steps for Graphing a Rational Function R STEP 1: Factor the numerator and denominator of R. Find the domain of the rational function. STEP 2: Write R in lowest terms. STEP 3: Find and plot the intercepts of the graph. Use multiplicity to determine the behavior of the graph of R at each xintercept. STEP 4: Find the vertical asymptotes. Graph each vertical asymptote using a dashed line. Determine the behavior of the graph of R on either side of each vertical asymptote. STEP 5: Find the horizontal or oblique asymptote, if one exists. Graph the asymptote using a dashed line. Find points, if any, where the graph of R intersects the asymptote. Plot the points. STEP 6: Use the real zeros of the numerator and denominator of R to divide the xaxis into intervals. Determine where the graph of R is above or below the xaxis by choosing a number in each interval and evaluating R. Plot the points found. STEP 7: Use the results obtained in Steps 1 through 6 to graph R.
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Related Book For
Precalculus Concepts Through Functions A Unit Circle Approach To Trigonometry
ISBN: 9780137945139
5th Edition
Authors: Michael Sullivan
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