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SFU Math 100 Midterm 1 - October 4, 2006, Exams of Calculus

Aliah UniversityCalculus

The instructions and questions for the midterm exam of math 100 at simon fraser university, held on october 4, 2006. The exam covers various topics such as graphing functions, finding slopes and intercepts of lines, inverse functions, and calculating midpoints and distances. Students are not allowed to use calculators, notes, or books during the exam.

Typology: Exams

2012/2013

Uploaded on 02/21/2013

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Simon Fraser University
Math 100
Midterm 1 Date: October 4, 2006
Time: 11:30 - 12:20am
Last Name (print): First Name
Signature: SFU Email ID:
Instructor: Laura Ch´avez Lomel´ı.
Instructions:
1. Do not open this exam until instructed to do so.
2. No calculators, notes or books are allowed.
3. When presenting a final answer for your solution, calculator-ready expressions will be given
full credit.
4. Show all your work. No credit will be given for an answer without the correct accompanying
work.
5. Answer the questions in the space provided. Continue on the back of the previous page if
necessary.
Question Mark Maximum
1 10
2 8
3 4
4 9
5 9
Total 40
pf3
pf4
pf5

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Simon Fraser University

Math 100

Midterm 1 Time:Date: October 4, 200611:30 - 12:20am

Last Name (print): First Name Signature: SFU Email ID: Instructor: Laura Ch´avez Lomel´ı. Instructions:

  1. Do not open this exam until instructed to do so.
  2. No calculators, notes or books are allowed.
  3. When presenting a final answer for your solution, calculator-ready expressions will be givenfull credit.
  4. Show all your work.work. No credit will be given for an answer without the correct accompanying
  5. Answer the questions in the space provided.necessary. Continue on the back of the previous page if

Question Mark Maximum

Total 40

  1. Given the function: f (x) = −(x − 4)^2 + 4 defined for 0 < x ≤ 8: [6 marks] (a) Draw the graph of f (x).

[2 marks] (b) Is the function one to one? Explain.

[2 marks] (c) Determine the range of f (x).

[4 marks] 3. Find the equation of the inverse of f (x) = (^10) x − 5. Show all work.

  1. Let f (x) = x^2 − 4 and g(x) = 3x^2 + 12x + 12 [3 marks] (a) Find g(f (x)).

[4 marks] (b) Find h(x) = f g^ ((xx)) and simplify as much as possible.

[2 marks] (c) Determine the domain of h(x).