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PreCalc Exam: Functions, Graphing, Complex Numbers, Quadratics, Algebra - Prof. William W., Exams of Pre-Calculus

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.

Typology: Exams

Pre 2010

Uploaded on 08/03/2009

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MS 101: Precalculus
Test 1
May 31, 2005
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!
On my honor, I have neither given nor received illicit information during this examination.
Signature
Printed Name
pf3
pf4
pf5

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MS 101: Precalculus

Test 1

May 31, 2005

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!

On my honor, I have neither given nor received illicit information during this examination.

Signature

Printed Name

  1. For f (x) defined by

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)

  1. Let f (x) =

2 + 4x^2 , and g(x) = 2x + 1. Find (f ◦ g)(x).

  1. Complete the square and write the function in vertex form.

f (x) = x^2 − 5 x + 3

  1. What is the vertex of the following quadratic function: f (x) = −2(x + 4)^2 − 5.
  2. Solve the following.

a. x^2 − 2 x − 4 = 0

  • b. 4x^2 − 12 x = −
  • c. x^2 + 6x + 8 ≥