# MCF3M – Grade 11 Functions and Applications Exam Notes

Thanks, Gagan!

MCF 3M1 – FUNCTIONS and Applications EXAM & CULMINATING REVIEW

MCF 3M Exam Review

If you have lost your textbook, you need to bring a cheque made out to Bishop Reding Secondary School in the amount of \$105.

Bring to the exam three or more sharpened pencils, a big eraser, a ruler, a pencil crayon, a highlighter and a scientific calculator. There will be no sharing of materials during the exam.

How to study: Redo your tests, quizzes and assignments; print your blank notes and redo them (only look at the solutions to check); create summary sheets for each chapter (if not done so already); complete all your exam review questions; redo any homework you feel necessary.

*** Additional questions may be added in the New Year.

Make study notes on the following:

•   Definition of a function
•   The vertical line test
•   Determining the type of function by its first or second differences
•   Function notation. E.g. f(3-1) vs. f(3) – f(1)
•   How to transform f (x)  x2 (graphing y  a(x  h)2  k or = ( − )( − ))
•   Domain and Range of lines and quadratics
•   Expansion of two binomials (FOIL method)
•   Factoring

 Common factoring Factoringsimpletrinomials f(x)x2 bxc Decomposition f(x)ax2 bxc

 Special Cases: Perfect Square trinomials and Difference of Squares

•   Quadratic Equation versus Quadratic Expression
•   Factored vs. Standard vs. Vertex Form
•   Solving a quadratic equation – using factoring, quadratic formula
•   Zeros, roots, x-intercepts
•   Find the vertex using the axis of symmetry
•   Find the a value of a quadratic given the graph.

Chapters 1-3:
The Function & The Quadratic – Standard and Factored Forms

Answer the following questions for Ch 1-3

Chapter 1 Chapter 3

p. 37 # 3, 6, 7
p. 56 # 1-2, 4, 5
p. 155 # 1ac, 2acd
p. 162 # 4, 5, 8, 11, 12 p. 168 # 2, 4, 10
p. 177 # 4ab

Chapter 2 p. 103 # 1, 5, p. 110 # 9ab

MCF 3M1 – FUNCTIONS and Applications EXAM & CULMINATING REVIEW

Make study notes on the following:

•   Completing the Square
•   Quadratic Formula

 When to use it

 How to use it (One side must equal zero)

•   The discriminant

 What does it tell us about its quadratic

•   Find the equation of a quadratic using a curve of best fit
•   Primary Trigonometric Ratios
•   The Sine Law
•   The Cosine Law
•   How to determine lengths and interior angles in right and acute triangles
•   Definition of Periodic Function
•   Sinusoidal Functions

 Vs. periodic functions
 Sketch
 Find equation from graph
 Amplitude, period, domain, range, peak, trough, equation of the axis

Chapters 4 – 6:
The Quadratic: Vertex Form, Trigonometry & Periodic Functions

Answer the following questions for Ch 4-6

Chapter 4

Chapter 6

p. 215 #10, 11
p. 223 # 8,
p. 226 # 2, 4a, 5, 8cd, 11 p. 232 # 2abc, 5, 6
p. 250 # 4ab
p. 357 # 4, 8, 9 (last)
p. 379 # 7, 10ac
p. 380 # 4, 6 (last)
p. 322 #3

Chapter 5

p. 262 # 6, 7
p. 292 # 3
p. 288 # 3a, 4, 8ab p. 299 # 2a, 3a
p 272 # 8

MCF 3M1 – FUNCTIONS and Applications EXAM & CULMINATING REVIEW

Make study notes on the following:

•   Exponent laws
 Negative exponents
 Rational exponents – Express as a root and solve
•   Exponential Growth and Decay Functions
 Major differences in equations, graphs
 How to find their y-intercept, asymptote, range, domain,
 How to graph
 Word problems – appreciation, depreciation, population, half-life, doubling
•   Simple Interest
 Finding the interest and then the total amount
•   Compound Interest
•   Finding the present value or future value
•   How to change interest rate and number of compounding periods bases on

the compounding frequency.

•   Annuities – Present Value vs. Future Value
 Equations are given – but you must know how to rearrange to find R!!  Determine total interest paid

Chapters 7 – 8:
Exponent Laws, Exponential Functions & Financial Applications

Answer the following questions for Ch7 -8

Chapter 7

p. 419 # 1, 2, 4, 7 p. 423 # 1, 2, 4
p. 431 # 6, 7 (last) p. 439 # 11-13

Chapter 8

p. 491 # 1, 2, 6, 7, 8, 11 p. 499 # 5 (last)
p. 507 # 4, 7 (last)
p. 459 #2

p. 415 # 10 (express as a root) Know Doubling and Half-Life

MCF 3M1 – FUNCTIONS and Applications EXAM & CULMINATING REVIEW

ADDITIONAL:
The review below gives you the questions that you should work on to prepare yourself for the Culminating Activity and Final Examination. However, your preparation should not be limited to these questions only.

The Knowledge and Applications sections of unit quizzes and tests should also be reviewed.

Only when you can complete all of the questions, without assistance from others or from your notes, will you be prepared.

If you would still like further practice:

•   use the Mid-Chapter Review found within each unit
•   use the Chapter Test found after the review in each unit
 Unit Topics Page Do Chapters 1 -3 Quadratic Functions Algebraic Quadratic Expressions Quadratic Functions: Standard and Factored Forms Pg. 186 # 1 – 18 Chapters 4–6 Quadratic Models: Standard and Vertex Forms Trigonometry and Acute Angles Sinusoidal Functions Pg. 382 # 1 – 20, 22, 26, 28, 29 Chapters 7–8 Exponential Functions Financial Exponential Functions Pg. 526 # 1 – 15