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Home > PC3 > Chapter 9 > Lesson 9.1.4 > Problem 9-85


This problem is a checkpoint for evaluating limits from graphs and tables.  

  1. Use the piecewise-defined function, , graphed at right to evaluate each of the limits below.





Piecewise graph, line coming from upper left, passing through the point (negative 6, comma 4),  & stopping at the point (negative 5, comma negative 1), increasing curve, opening down, from closed point (negative 5, comma negative 1), to open point (negative 2, comma 3), decreasing curve, opening down, from open point (negative 2, comma 3), to open point (1, comma negative 1), ray from closed point (1, comma negative 3), passing through (6, comma 5), & closed point at (negative 2, comma 2).

  1. Let . Copy and complete the table of values below to estimate the value of .

Check your answers by referring to the selected answers.

Ideally at this point you are comfortable working with these types of problems and can complete them correctly. If you feel that you need more confidence when completing these types of problems, then review the Limits Checkpoint materials available at cpm.org and try the practice problems provided. From this point on, you will be expected to do problems like these correctly and with confidence.

Answers and extra practice for the Checkpoint problems are located in the Reference Tab of your eBook.
Click the following link: Limits