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Math 220 Quiz 1 - Fall 2010 - Prof. Robert F. Murphy, Quizzes of Calculus

University of Illinois - Urbana-ChampaignCalculus
Prof. Robert F. Murphy

A math 220 quiz from fall 2010. The quiz includes six questions covering various topics such as even and odd functions, domain of a function, function composition, trigonometric identities, and graphing. Students are not allowed to use calculators and must show their work. The quiz consists of questions 1 to 6, with each question worth a specific number of points.

Typology: Quizzes

Pre 2010

Uploaded on 12/10/2010

d-2pac2006
d-2pac2006 🇺🇸

3 documents

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Math 220 (section ???) Quiz 1 Fall 2010
Name
•No calculators allowed.
•Show sufficient work to justify each answer.
•You have 15 minutes for this quiz.
1. (2 points) Is the following function even, odd or neither?
f(x) = 8x3
x4+ 5
2. (2 points) What is the domain of the function f(x) = q3−√x−2 ?
3. (1 point) Given that f(x) = x2+ 1 and g(x) = 3x−2, evaluate and simplify (g◦f)(2).
pf2

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Math 220 (section ???)Name • No calculators allowed. Quiz 1 Fall 2010

  1. (2 points) Is the following function even, odd or neither?^ •^ •^ Show sufficient work to justify each answer.You have 15 minutes for this quiz. f (x) = (^) x 84 x+ 5 3
  2. (2 points) What is the domain of the function f (x) =^ √ 3 − √x − 2?
  3. (1 point) Given that f (x) = x^2 + 1 and g(x) = 3x − 2, evaluate and simplify (g ◦ f )(2).
  1. (1 point) Evaluate and simplify sec (4π/3).
  2. (2 point) Determine real numbersrewritten as a sec (^2) θ + b. a and b so that the expression 5 tan^2 θ + 2 sec^2 θ can be
  3. (2 points) Carefully sketch a graph of the function f (x) = 5 − 2 cos x on the interval [0, 2 π].