Function - PreCalculus - Exam, Exams of Calculus

This is the Exam of PreCalculus which includes Irrational Number, Decimal Expansion, Rational, Equations, Polynomials, Prime, Factored, Integer Coe±Cients, Explicit Factorisation etc. Key important points are: Function, Careful Graph, Domain, Range, Function, Co Ordinates, Midpoint, Slope, Line Containing, Equation

Typology: Exams

2012/2013

Uploaded on 02/21/2013

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Simon Fraser University
Math 100
Midterm 1 Date: February 7, 2007
Instructor : Sue Haberger Time: 11:30 - 12:20am
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
6
3
6
4
8
5
5
TOTAL
30
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Simon Fraser University

Math 100

Midterm 1 Date: February 7, 2007

Instructor : Sue Haberger Time: 11:30 - 12:20am

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

TOTAL 30

Instructor: Sue Haberger Page 2

  1. a) (3 marks) Draw a careful graph of the function: y =! x + 4 + 3

b) (2 marks) State the Domain and Range of the function

Instructor: Sue Haberger Page 4

a) ( 2 marks) Draw a careful graph of the linear function:

f ( x )= x!

b) (2 marks) Determine the equation of a line perpendicular to the graph of f(x) passing through

the point ( 7 ,! 5 )

c) (2 marks) Determine a formula for ( )

1 f x

! , the inverse of f(x)

Instructor: Sue Haberger Page 5

  1. Given two functions: x

x f x !

( ) and

2 g ( x )= 3! x

a) (1 mark) Evaluate f ( 8 )

b) (1 mark) Evaluate ( fg )( 0 )

c) (1 mark) Give a simplified expression for g ( x + h )

d) (2 marks) Give a simplified expression for ( f o g )( x )

e) (3 marks) Solve for x : 2

f ( x )=