Lesson: Understanding Functions Mathematics

In this lesson, we will learn how to define and evaluate functions and find the roots and the maximum or minimum of quadratic functions.

Lesson Plan

Students will be able to

understand how a function is defined as well as what the domain, range, and roots of a function are,
evaluate functions using substitution,
find the roots of linear and quadratic (or quadratic-like) functions by solving them,
find the input values for which two polynomial functions are equal,
identify the minimum or maximum value of a quadratic function by finding its vertex form.

Q1:

If , evaluate .

Q2:

Given that and , find the value of .

Q3:

If and , calculate .