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Stitz-Zeager_College_Algebra_e-book

# To accomplish this task analytically would require

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Unformatted text preview: ) 3 2 1 (−2, 0) −4 −3 −2 (2, 0) −1 1 2 3 4 x −1 −2 −3 (−4, −3) (4, −3) −4 1. Find the domain of f . 2. Find the range of f . 9. List the intervals on which f is increasing. 10. List the intervals on which f is decreasing. 3. Determine f (2). 4. List the x-intercepts, if any exist. 11. List the local maximums, if any exist. 5. List the y -intercepts, if any exist. 12. List the local minimums, if any exist. 6. Find the zeros of f . 13. Find the maximum, if it exists. 7. Solve f (x) < 0. 8. Determine the number of solutions to the equation f (x) = 1. 14. Find the minimum, if it exists. 15. Does f appear to be even, odd, or neither? Solution. 1. To ﬁnd the domain of f , we proceed as in Section 1.4. By projecting the graph to the x-axis, we see the portion of the x-axis which corresponds to a point on the graph is everything from −4 to 4, inclusive. Hence, the domain is [−4, 4]. 2. To ﬁnd the range, we project the graph to the y -axis. We see that the y values from −3 to 3, inclusive,...
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