MATH 100 Final: MATH100 Final Exam 2007 Fall
24 Oct 2018
School
Department
Course
Professor
1
Simon Fraser University
Math 100
Final Exam Date: December 12, 2007
Time: 15:30 - 18:30
Last Name (print): First Name
Signature: SFU Email ID:
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 pre-
vious page if necessary.
6. There are 80 possible points in this examination.
7. During the examination, communicating with, or deliberately expos-
ing written papers to the view of, other examinees is forbidden.
Question 1 2 3 4 5 6 7 8 9 10 11 Total
Mark
Maximum 2 5 9 13 11 5 7 6 7 6 9 80
2
1. Find the solution to the system of linear equations:[2 pts]
4x−3y= 5
2x−y= 4
2. Find the coordinates of the center and the radius of the circle with equation[5 pts]
x2+y2+ 6x−4y= 5.
3
3. Let f(x) = ln(x−5) and g(x) =
5
2x
(a) Find the range of g(x)[1 pts]
(b) Determine the domain of f(x).[1 pts]
(c) Find an expression for h(x) = (g◦f)(x)[2 pts]
(d) Does h(x) have an inverse? Answer yes or no and give a short explanation[2 pts]
for your answer.
(e) Find the interval in which h(x) is increasing and that in which it is de-[3 pts]
creasing.
Document Summary
Instructions: do not open this exam until instructed to do so, no calculators, notes or books are allowed, when presenting a nal answer for your solution, calculator-ready expressions will be given full credit, show all your work. No credit will be given for an answer without the correct accompanying work: answer the questions in the space provided. Continue on the back of the pre- vious page if necessary: there are 80 possible points in this examination, during the examination, communicating with, or deliberately expos- ing written papers to the view of, other examinees is forbidden. [2 pts: find the solution to the system of linear equations: [5 pts: find the coordinates of the center and the radius of the circle with equation x2 + y2 + 6x 4y = 5, let f (x) = ln(x 5) and g(x) =(cid:12)(cid:12) 5. [1 pts] (a) find the range of g(x) [1 pts] (b) determine the domain of f (x).
