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2.7 continued Writing Equations for Piecewise Functions and Word Problems

Writing a piecewise function given the graph.. . . . . The break in the graphIs at x=0.. . To the left of x=0 the graph is part of the line thru (-2,0)

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2.7 continued Writing Equations for Piecewise Functions and Word Problems

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    1. 2.7 (continued) Writing Equations for Piecewise Functions and Word Problems p. 115

    2. Writing a piecewise function given the graph.

    3. The piecewise function is:

    4. Write the equation of:

    5. You have a summer job that pays time and a half for overtime. (If you work more than 40 hours) After that it is 1.5 times your hourly rate of $7.00/hr. Write and graph a piecewise function that gives your weekly pay P in terms of the number hours you work h. How much will you make if you work 45 hours?

    6. From 0 to 40 hours you get $7.00/hr: 7h over 40 you get: 7(40) + (1.5)(7)(h-40) = 7(40) + 10.5(h-40)= 10.5h - 140 The function is:

    7. So the graph is:

    8. 2. P(h) = 10.5h - 140 P(45) = 10.5(45) - 140 = $332.50 for 45 hours of work

    9. Assignment

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