Learning Resources
Home » » Courses » Mathematics » Advanced Mathematics 3207 (delisted) » Unit 02 » Set 01 ILO 03 » Get Ready
Outcomes
In this lesson you will learn
- the shapes of cubic and quartic functions, and how they relate to the number of real roots of the corresponding equation
- how to determine if the graph of a function crosses or touches the x-axis at the value of a root
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
Prerequisites
To be successful in this lesson, it would be helpful to know the following:
- how to find the roots of functions
- how to graph a quadratic function
- how the roots of a quadratic function determine the positioning of the graph
- The term "discriminant" and what its value indicates about parabolic graphs
- how to determine x and y-intercepts of a polynomial function
- how to find the square root of a negative number
- how to tell the degree of a polynomial
- transformations