2.6 Special Functions Warm-up (IN) Learning Objective: to write and graph piecewise and absolute value functions and to apply them to real world situations.

Inverse of an Absolute value function
Inverse of an Absolute value function

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2.6 Special Functions Warm-up (IN) Learning Objective: to write and graph piecewise and absolute value functions and to apply them to real world situations. 1. Graph the piecewise function.

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Notes Learning Objective: to write and graph piecewise and absolute value functions and to apply them to real world situations. Ex 1 – A truck driver earns $21.00 per hour for the first 40 hours worked in one week. The driver earns time-and-a- half, or $31.50, for each hour worked in excess of 40. Represent the situation using a piecewise function. Need to take away the $420 he made on regular time W2L Write a different real world situation that can be represented using a piecewise function

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Learning Objective: to write and graph piecewise and absolute value functions and to apply them to real world situations. Ex 2 – Write the piecewise function represented in the graph.

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Learning Objective: to write and graph piecewise and absolute value functions and to apply them to real world situations. Absolute Value Function – Can be represented with a piecewise function EX 3 – graph the function 1 x y 0 2 0 2 1 1 2 -2

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Learning Objective: to write and graph piecewise and absolute value functions and to apply them to real world situations. EX 4 – graph the function and its inverse on the same coordinate plane. 1 x y 0 2 2 8 5 5 8 -2 inverse 1 x y 0 2 2 8 5 5 8 -2 b. Try it! Pg. 127

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HW – p. 129-132 #17-27 odd, 58-60, 73, 77-89 odd Out – Is the inverse of a function? EXPLAIN! Summary – I have a question about… POW!!

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