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A precalculus exam from may 31, 2005, covering various topics including functions, graphing, complex numbers, quadratic functions, and algebra. Students are required to find function values, graph functions, perform complex number operations, complete the square, and solve quadratic equations. This document could be useful for university students preparing for exams, quizzes, or assignments related to precalculus.
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Give your best answers to the following questions. Be sure to show your work in order to receive partial credit. In general, a correct answer without accompanying work will receive no credit. Do your own work!
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f (x) =
2 + x if x < − 4 −x if − 4 ≤ x ≤ 2 3 x if x > 2
a. Find f (−5)
b. Find f (2)
c. Graph f (x)
2 + 4x^2 , and g(x) = 2x + 1. Find (f ◦ g)(x).
f (x) = x^2 − 5 x + 3
a. x^2 − 2 x − 4 = 0
