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Simon Fraser University
Math 100
Midterm 1- Exam 1 Date: October 3, 2007
Time: 11:30 - 12:20am
Last Name (print): First Name
Signature: SFU Email ID:
Instructor: Laura Ch´avez Lomel´ı.
Instructions:
- Do not open this exam until instructed to do so.
- No calculators, notes or books are allowed.
- When presenting a final 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.
Question Mark Maximum
Total 45
- This question refers to the points A(− 1 , 6), B(− 3 , −5) and C(3, 3)
[2 pts] (a) Find the midpoint P of the segment with endpoints A and B
[2 pts] (b) Determine the distance between A and B
[4 pts] (c) Give the equation of the circle with center at C and passing through the origin (0, 0).
(d) The distance from A to C is 5 and the distance from B to C is 10. Are [2 pts] the points A, B and C the vertices of a right triangle? Answer Yes, No. Explain.
- Consider the functions f (x) =
x − 2 and g(x) = 2x^2 − 30.
[4 pts] (a) Find the equation of f −^1 (x).
[4 pts] (b) Find an expression for (f ◦ g)(x). Simplify.
[4 pts] (c) Determine the domain of (f ◦ g)(x)
[8 pts] 4. The following graph is the graph of the function f (x).
Identify the following graphs by matching each of them to the correct function. (A) f −^1 (x) (B) − f (x) + 2 (C) − 2 f −^1 (x) (D) 12 f (x)
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