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SFU Math 100 Midterm 2 Exam - Spring 2007, Exams of Calculus

Aliah UniversityCalculus

A math exam from simon fraser university (sfu) for the math 100 course in the spring 2007 semester. The exam covers various topics in algebra and calculus, including quadratic functions, polynomial functions, rational functions, logarithms, and exponents. Students are required to find the vertex, axis of symmetry, x-intercepts, zeros, x-intercepts, horizontal asymptotes, and solve equations and inequalities.

Typology: Exams

2012/2013

Uploaded on 02/21/2013

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radhakrishna 🇮🇳

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Simon Fraser University
Math 100
Midterm 2 Date: March 7, 2007
Instructor : Sue Haberger Time: 11:30 - 12:20 pm
Last Name (print):____________________________ First Name:_______________________
Signature:___________________________________ SFU Email ID:_____________________
Instructions:
1. Do not open this exam until instructed to do so.
2. Ensure that you have 5 pages of questions numbered page 2 to page 6.
3. No calculators, notes or books are allowed.
4. Give all final numerical answers exactly, simplify all final expressions.
5. For full marks, show all steps leading to your final answer.
6. Answer each question in the space provided. Continue on the back of the previous page if
necessary.
Question
Mark
Maximum
1
5
2
5
3
7
4
8
5
5
TOTAL
30
pf3
pf4
pf5

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Simon Fraser University

Math 100

Midterm 2 Date: March 7, 2007 Instructor : Sue Haberger Time: 11:30 - 12:20 pm Last Name (print):____________________________ First Name:_______________________ Signature:___________________________________ SFU Email ID:_____________________ Instructions:

**1. Do not open this exam until instructed to do so.

  1. Ensure that you have 5 pages of questions numbered page 2 to page 6.
  2. No calculators, notes or books are allowed.
  3. Give all final numerical answers exactly, simplify all final expressions.
  4. For full marks, show all steps leading to your final answer.
  5. Answer each question in the space provided. Continue on the back of the previous page if** necessary. Question Mark Maximum 1 5 2 5 3 7 4 8 5 5 TOTAL 30

Instructor: Sue Haberger Page 2

  1. For the quadratic function: 10 18 2 y = x! x + a) (2 marks) Give the co-ordinates of the vertex of its graph. b) (1 mark) Give the equation of the axis of symmetry of its graph. c) (2 marks) Determine the x - intercepts of its graph. (answer exact and simplified)

Instructor: Sue Haberger Page 4

  1. A rational function is defined by: 2 2 2 ( 1 )

x x x x x x x R x a) (1 mark) Give the x - intercepts(s) of R ( x )._______________________ b) (1 mark) Give the equation of the horizontal asymptote for the graph. _________________ c) (2 marks) Use a sign analysis of R ( x )to solve the inequality: R ( x )! 0 Solution: ___________________________________________ d) (3 marks) Sketch the graph of R ( x )Scale and label the axes. Show asymptotes as dotted lines. Include co-ordinates for at least three points on the graph.

Instructor: Sue Haberger Page 5

  1. a) (4 marks) Give the exact value of each expression:

! 23 9 _____________________^ log 48 =_______________ log( 0. 001 )= ______________ = ! "

$ % & 2 ln 5 e ________________ b) (2 marks) Solve for x : 5 15 ( 4 ) = ! x e c) (2 marks) Solve for x : log( x + 2 )= 1 +log( x! 2 )