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 us
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
Expo
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 foll
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 w
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
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 an
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
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, asymptote
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:
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
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 wou
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
transformatio
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 valu
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 d