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Chap2 Section3

Elementary and Intermediate Algebra: Graphs & Models (3rd Edition)

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Section 2.3 Interpreting the Graph of a Function 129 Version: Fall 2007 2.3 Exercises For Exercises 1 - 6 , perform each of the following tasks. i. Make a copy of the graph on a sheet of graph paper and apply the vertical line test. ii. Write a complete sentence stating whether or not the graph represents a func- tion. Explain the reason for your re- sponse. 1. x y 5 5 2. x y 5 5 Copyrighted material. See: http://msenux.redwoods.edu/IntAlgText/ 1 3. x y 5 5 4. x y 5 5 5. x y 5 5
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130 Chapter 2 Functions Version: Fall 2007 6. x y 5 5 In Exercises 7 - 12 , perform each of the following tasks. i. Make an exact copy of the graph of the function f on a sheet of graph pa- per. Label and scale each axis. Re- member to draw all lines with a ruler. ii. Use the technique of Examples 3 and 4 in the narrative to evaluate the func- tion at the given value. Draw and la- bel the arrows as shown in Figures 4 and 5 in the narrative. 7. Use the graph of f to determine f (2) . x y 5 5 f 8. Use the graph of f to determine f (3) . x y 5 5 f 9. Use the graph of f to determine f ( 2) . x y 5 5 f 10. Use the graph of f to determine f (1) . x y 5 5 f
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Section 2.3 Interpreting the Graph of a Function 131 Version: Fall 2007 11. Use the graph of f to determine f (1) . x y 5 5 f 12. Use the graph of f to determine f ( 2) . x y 5 5 f In Exercises 13 - 18 , perform each of the following tasks. i. Make an exact copy of the graph of the function f on a sheet of graph pa- per. Label and scale each axis. Re- member to draw all lines with a ruler. ii. Use the technique of Example 5 in the narrative to find the value of x that maps onto the given value. Draw and label the arrows as shown in Figure 6 in the narrative. 13. Use the graph of f to solve the equation f ( x ) = 2 . x y 5 5 f 14. Use the graph of f to solve the equation f ( x ) = 1 . x y 5 5 f 15. Use the graph of f to solve the equation f ( x ) = 2 . x y 5 5 f
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132 Chapter 2 Functions Version: Fall 2007 16. Use the graph of f to solve the equation f ( x ) = 2 .
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