Lesson Notes 1-2
Simplifying/Adding/Subtracting Radicals
Radicals are the name given to finding a root of any degree. You should be familiar with
the terms square root and cube roots, but there are many other types of roots as well. We
write radicals in t

Dividing Radicals
Lesson Notes 1-4
Dividing radicals is similar to multiplying. Remember with multiplying you multiply the
outside numbers and the inside numbers are multiplied. In dividing radicals, the outside
numbers are divided and the inside numbers

Lesson Notes 2-4
Roots of Quadratic Equations
Investigation Roots of Quadratic Equations
1. Solve these equations using the quadratic formula.
a. x2 8x + 16 = 0
b. 4x2 12x + 9 = 0
c. 25x2 + 10x + 1 = 0
2. Solve these equations using the quadratic formula.

The Quadratic Formula
Lesson Notes 2-3
You know that a quadratic equation can be written in the form ax2 + bx + c = 0. Suppose
you wanted to solve this general quadratic equation using the completing the square
method.
This gives us an extremely useful fo

Lesson Notes 2-5
Graphs of Quadratic Functions Part I
Investigation Graphs of Quadratic Functions
Each of these functions is given in the form y = ax2 + bs + c. For each function,
i. Find the value of b2 4ac
ii. Graph the function on your GDC
b. y = 3x2 6

The Domain and Range of Relations
Lesson Notes 2-2
You can often write the domain and range of a relation using interval notation. For
example, for the set of numbers that are all less than 2, you can write the inequality x < 2,
where x is a number in the

Lesson Notes 2-5
Inverse Functions
The inverse of a function f(x) is f-1(x). It reverses the action of that function.
x+ 4
Example 1: If f(x) = 3x 4 and g(x) =
determine f(10) and g(26).
3
Functions are inverses if
Not all functions have an inverse.
You c

Lesson Notes 2-1
Introducing Functions
Investigation - Handshakes
In some countries it is customary at business meetings to shake hands with everybody in
the meeting. If there are 2 people there is 1 handshake, if there are 3 people there are 3
handshakes