# P03 - sets of axes below y = | x | 1 2 This problem uses...

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Project 3 MAC 2311 1. Examine the function f ( x ) = 4 - | 2 - x | . Write f ( x ) as a piecewise function without absolute value bars, using the definition of absolute value, and graph the function on the axes below: f ( x ) = Graph the function f ( x ) again, this time in a series of steps, beginning with the graph of y = | x | . Use shifting and reflecting, ONE step at a time, and each time write the new function obtained. (You might not need all of the

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Unformatted text preview: sets of axes below). y = | x | 1 2. This problem uses the functions below: f ( x ) = x 2 g ( x ) = √ 1-x 2 h ( x ) = √ 1-x Write a simpliﬁed formula for the function k = f + g · g , and give its domain in interval notation. Write a simpliﬁed formula for the function k = ( f + g ) ◦ h , and give its domain in interval notation. 2...
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