Unit 1: Functions Properties and Characteristics
Date:_
Lesson #8: Piecewise Functions
L.G. I can model and graph piecewise functions.
Minds On: Consider the following situation: A city parking lot uses the
following rules to calculate parking fees:
A fla

MHF 4U
Date: _
Laws of Logarithms
L.G. I can apply the laws of logs to simplify and/or evaluate logarithmic expressions.
Properties of Logs
i) log a 1 0
ii) log a a x
iii) a
x
Proofs:
Product Law
Exponents:
ax ay
ax
Logarithms:
log a mn
log a m log a n
y

Unit 6: Trigonometric Identities and Equations
Date: _
L1: Trigonometric Identities for Equivalent Functions
L.G.: I can recognize equivalent trigonometric relationships.
1
Q: The equation of the following graph is
a) y
sin x
b) y sin(x
)
c) y
cos(x
d) y

Unit 4:Exponentials & Logarithms
Date: _
Solving Exponential Equations
L.G.: I can solve exponential equations in one variable using a variety of strategies.
Key Idea #1: Two exponential expressions with the SAME base are equal when their exponents are eq

Unit 1: Functions Characteristics and Properties
Lesson #2: Relations & Functions
L.G.: I can represent and describe functions and their characteristics.
Date: _
Relations and Functions
A relation is a connection (or relationship) between two sets of numb

MHF 4UI
Date: _
The Logarithmic Function
f ( x ) log a x, a 0
L.G.: I can recognize the relationship between exponential and logarithmic functions, and make connections between the
logarithmic form and exponential form of an expression.
inverse
Exponentia

MHF 4UI
Unit 1: Functions Properties and Characteristics
Lesson #5: Composite Functions
Date: _
Consider the situation where a hybrid car consumes fuel at a rate of 5.2L/100km and gas sells at
$1.35/L.
If x represents the number of kilometres driven, C is

Unit 1: Functions Properties and Characteristics
Date: _
Lesson #7: Graphical Characteristics of Functions
L.G.: I can describe graphical characteristics, e.g. zeros, maximum/minimum values, asymptotes, end behaviour, domain, and range,
increasing/decreas

Unit 1: Functions Characteristics and Properties
Date: _
Lesson #1: Solving Linear Inequalities
L.G.: I can solve a linear inequality by using either an algebraic or geometric approach.
<
>
Consider: 2 5 is a truestatement.Are the other statements also tr

MHF4U
Date: _
Rational Functions Review
1.
Find each of the following given the graph of y
a)
b) lim g ( x)
g ( 3)
x
c) lim g ( x)
x
d)
e) lim g ( x)
e) lim
lim g ( x)
3
f) lim g ( x)
x
7
3x 2
5x 2
2
x 2
2
12 x 5 x 5
2. a) lim
x
3
x
0
x
b) lim
t
5
2t 10
t

MCR 3UI
Date: _
The Inverse of a Function ( y
1
f ( x) )
L.G. I can determine the inverse of a function as well as recall functional notation.
Recall: Functional Notation
Typically, a relationship would be represented as y = (eg. y = 2x + 4 , y
replaced w

Unit 1: Characteristics of Functions
Date:_
Transformations of Functions
L.G: I can identify important parent functions from an equation or graph and can describe or apply the effects of
transformations of these parent functions.
Review of Transformations

Unit 1: Functions Lesson #3: The Absolute
Date: _
Lesson #3: The Absolute Value Function
L.G. I can describe the properties of the absolute value function and solve expressions involving absolute value notation.
Warm Up Solve and graph the following inequ

Unit 2: Polynomial Functions
Date: _
Lesson #1: Introduction to Polynomial Functions
L.G.: I can recognize the equation or graph of a polynomial function and investigate the relationship between
the degree of a polynomial and its finite difference.
Polyno