# P03Ans - x = a Illustrate this in your picture above in the...

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Project 3 MAC 2233 1. Examine the function f ( x ) = 4 ± j 2 ± x j . Write f ( x ) as a piecewise function without absolute value bars, using the deﬁnition of abso- lute value, and graph the function on the axes below: f ( x ) = 8 < : 2 + x x ² 2 6 ± x x > 2 Graph the function f ( x ) again, this time in a series of steps, beginning with the graph of y = j x j . Use shifting and reﬂecting, ONE step at a time, and each time write the new function. y = j x j 2. Give a quick sketch of the function f ( x ) = p x on the axes below. Write a function D ( a ) that represents the distance from the point (0 ; 0) to the point on the graph of f ( x ) = p x that corresponds to the value
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Unformatted text preview: x = a . Illustrate this in your picture above in the cases when a is chosen to be 1 , 4 , or 9 by labeling each point and drawing the lines between each and the origin. distance from point (0 ; 0) to ( a; p a ) is D ( a ) = p a 2 + a What is the domain of the function D ( a ) in the current context (for what values of a can you ﬁnd the value D ( a ) as instructed)? a ³ If you were simply given your function D ( a ) as a formula without any context, what would its domain be? ( ±1 ; ± 1] [ [0 ; 1 )...
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## This note was uploaded on 12/27/2011 for the course MAC 2233 taught by Professor Smith during the Spring '08 term at University of Florida.

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