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In this lesson we’ll be covering how to set-up piecewise defined functions based on story problems. Keep in mind that each piece of a piecewise defined function has its own domain, so we’ll also have to set-up an ... 16-week Lesson 26 (8-week Lesson 21) Applications of Piecewise Defined Functions 10 Answers to Examples: 1a. $235 1b. $525 2 ...
Sully’s blood pressure starts at 90 and rises 5 points every hour for the first 4 hours. Sully chills out for lunch from 12-1 and maintains a cool 110 blood pressure. Last period of the day hits from 1-3 and Sully’s blood pressure rises from 110 at 10 points per hour. 2 points per hour until his 8 o’clock bedtime. 5.
Graphing Piecewise Functions Both of the following notations can be used to describe a piecewise function over the function’s domain: f(x) = ¯ ® 5 2x [2,6] [ 5,2) if if or f(x) = ,2 6, 5 2 d d d x x 3. Complete the following table of values for the piecewise function over the given domain. x f(x) -5 -3 0 1 1.7 1.9 2 2.2 4 6 4.
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Write a piecewise function that describes what your dog groomer charges. 28. You go to Giant to buy some candy. You decide to buy snickers because they have a special deal on snickers. A pound of snickers costs $3.45, but if you buy 4 or more pounds, they only cost $3 OOper bag. Write a piecewise function to represent this situation.
2.8.3 Piecewise Function Worksheet Page 2 Write the function for the given graphs. 21. 22. 23. Graph the step function. − ≤ < − ≤ < − =,3 1 2,1 4 1 ( ) when x when x f x 24. Write the step function. 25. You have a summer job that pays time and half for overtime. That means, if you work more than 40
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