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2.4 Library of Functions and Piecewise-Defined Functions

2.4 Library of Functions and Piecewise-Defined Functions. Using the following functions; (a) sketch a copy of the function (b) describe the domain and range (c) determine where it is increasing and decreasing or remains constant (d) determine if it is even, odd or neither. Constant.

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2.4 Library of Functions and Piecewise-Defined Functions

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  1. 2.4 Library of Functions and Piecewise-Defined Functions

  2. Using the following functions; (a) sketch a copy of the function (b) describe the domain and range (c) determine where it is increasing and decreasing or remains constant (d) determine if it is even, odd or neither

  3. Constant Neither Neither Linear Function f(x)=mx+b Constant Function f(x)=b

  4. Odd Even Identity Function f(x)=x

  5. Neither Odd Square Root Function Cube Function

  6. Odd Even Reciprocal Functions Absolute Value Functions f(x) = |x|

  7. Greatest Integer Functions Denotes the largest integer less than or equal to x 6

  8. To graph on calculator…

  9. When functions are defined by more than one equation, they are called piece-wise defined functions.

  10. For the following function a) Find f(-1), f(1), f(3).

  11. For the following function b) Find the domain.

  12. For the following function c)Sketch the graph.

  13. Application of piecewise function In October 2001, Commonwealth Edison Company supplied electricity to residences for a monthly customer charge of $7.57 plus $.0877 per kilowatt for the first 400 kW/hour supplied in the month and $.06574 per kW/hour for all usage over 400 kW/hour. (a) What is the charge for using 300 kW/hour in a month? (b) What is the charge for using 700 kW/hr in a month? (c) If C is the monthly charge for x kW/hr, express C as a function of x.

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