# In Problems 750, follow Steps 1 through 7 on page 367 to graph each function. 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:

In Problems 7–50, follow Steps 1 through 7 on page 367 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 x-intercept. 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 x-axis into intervals. Determine where the graph of R is above or below the x-axis 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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## f x 2x Step 1 Domain x x 0 Step 4 16 2x 16 2 x 8 2 x 2 x 2x 4 x Step 5 X Step 6 …View the full answer

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**5**Section: 5.4 Exercisess

Problem: 48

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