Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 3 - Cumulative Review Exercises - Page 516: 11

Answer

See figure and explanations.
1583287642

Work Step by Step

Step 1. We can identify two vertical asymptotes as $x=\pm2$ Step 2. We can identify a horizontal asymptotes as $y=1$ Step 3. The function is even because $f(-x)=f(x)$ Step 4. We can find the x-intercepts as $x=\pm1$ Step 5. We can find the y-intercept as $y=\frac{1}{4}$ Step 6. We can identify the signs across the vertical asymptotes and zeros as $...(+)...(-2)...(-)...(-1)...(+)...(1)...(-)...(2)...(+)...$ Step 7. Based on the information above, we can graph the function as shown in the figure.
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