Math 092 Module 3 Lesson 2 - Introduction to Functions

This is Math 092 Module 3 Lesson 2. It overviews how we can identify, build, evaluate, and use functions for answering various questions. See the timestamps below to refer to specific parts of the lesson.

0:00 Overview of different function types
1:28 Sketching a graph using a table of values
8:44 Observing function types on desmos
9:33 Mention of 'zeroes' or 'x-intercepts' or 'roots'
10:10 Difference between a relation and a function
10:40 Function definition and examples
15:40 Function notation
17:38 Evaluating functions
19:00 Function operation examples - adding, subtracting, multiplying, dividing
24:26 Function operation examples - composition
30:00 Mention of inverse functions
31:12 How functions can be used to model real world situations - the case of maximizing the volume of a box
39:45 Things we can find for functions - maximum/minimum, domain/range, x & y intercepts, evaluating, operating, composing, etc.
42:42 Domain and range of a function practice example
44:30 Piecewise function with domain and range example