Lesson Notes 7-1
Patterns & Sequences
Investigation Saving Money
Joel decides to start saving money. He saves $20 the first week, $25 the second week,
$30 the third week, and so on.
a. Complete the following table below to show how much Joel saves each, a
The Reciprocal Function
Lesson Notes 6-2
The reciprocal function is
f (x) =
k
x , where k is a constant.
Investigation Graphs of Reciprocal Functions
Use your GDC to draw all graphs in this investigation.
1. Draw a graph of the following and determine wha
Lesson Notes 4-4
Sample Space Diagrams & Product Rule
You can list all the possible outcomes of an experiment if there are not too many or we
can show all possible outcomes in a chart.
Example 1: Draw a sample space diagram to represent the scores (sums)
Lesson Notes 4-1
Definitions
Investigation Rolling Dice
During the mid-1600s, mathematicians Blaise Pascal, Pierre de Fermat and Antoine
Gombaud puzzled over this simple gambling problem:
Which is more likely, rolling a six on four throws of one dice, or
Venn Diagrams Part I
Lesson Notes 4-2
In this room there are
people.
of them are female.
The area outside the set A (but still within the sample space) represents:
This is A, the
of set A.
As an event, A, either happens or it does not happen:
P(A) + P(A)
Rational Functions
Lesson Notes 6-3
f (x) =
A rational function is a function of the form
polynomials.
g(x)
h(x) where g and h are
Have you ever noticed the way the sound of a siren changes as a fire engine or police car
passes you? This is due to the Dop
Lesson Notes 5-3
Exponential Functions
An exponential function is a function of the form
f(x) = ax
where a is a positive real number (a > 0) and a 1.
Investigation: Graphs of Exponential Functions I
Using a GDC, sketch the graphs of these exponential func
Logarithmic Functions
Lesson Notes 5-5
Investigation Inverse Functions
What kind of function would undo an exponential function such as f: x 2x?
a. Complete this table of values for the function y = 2x
x
y
-3
-2
-1
0
1
2
3
The inverse function of y = 2x w
Laws of Logarithms
Lesson Notes 5-6
As logarithms are defined to be exponents there are some laws of logarithms to
remember.
Multiplication of Arguments When arguments are being multiplied inside a single
log, the arguments can be expanded by adding separ
Lesson Notes 4-6
Probability Tree Diagrams
Tree diagrams are useful for problems where more than one event occurs. It is
sometimes easier to use these than to list all the possible outcomes.
Example 1: The probability that Samuel, a keen member of the sch