Learning Resources
Home » » Courses » Mathematics » Advanced Mathematics 3207 (delisted) » Unit 02 » Set 01 ILO 01 » Get Ready
Outcomes
In this lesson you will learn
- to combine two functions by adding
- to combine two functions by subtracting
- to find the domain and range of a combined function
By the end of this section students will be able to:
- model problem situations with combinations and compositions of functions
- analyze relations, functions and their graphs
- use tables and graphs as tools to interpret combinations and compositions of functions
- represent complex numbers in a variety of ways
Introduction
You have had extensive exposure to functions and their graphs in the previous math courses. Now, however, you will be forming new functions by adding, subtracting and multiplying existing functions. This process of combining functions is the focus of this section of study, and it will be examined in order to solve problems. You will explore problems through the use of graphs, tables of values, and equations.
Graph paper will be required for many of the activities. Be sure to have an ample supply at your disposal.
This section of study should take 3 to 4 hours to complete.
Prerequisites
To be successful in this lesson, it would be helpful to know the following:
- how to graph linear, quadratic, cubic and trigonometric functions
- the concepts of domain and range
- function notation
- how to find the x and y- intercepts of a function
- how to find the vertex of a quadratic function
- how to solve quadratic equations by factoring or the quadratic formula
- how to use the regression feature on a graphing calculator to find equations of functions
- formula for the area of a circle (for question #8)
- transformations of functions
- the use of trigonometric identities such as
