Lesson 1: Functions & Relations

  • To understand the basic definition of a function
  • To use function notation
  • To be able to state functions domain and range
Be sure to have a copy of your guided notes ready! Forgot to grab one? You can download an extra copy from our google classroom. Note: This lesson will take approximately 30 minutes to complete.

DO NOW

Watch the video ! If you see any definitions be sure to take notes at the top of the guided notes page!

Vocabulary

DO NOW + Lesson 1.pptx

Representing Functions

A relation can be represented in these ways:

Example 1 : Identify Functions

Directions: Open the Function Builder Applet and choose the Mystery Button. Drag the input into the function machine to discover its output. Try to guess what function is being applied to the numbers! Feel free to explore other options In this applet.

Checkpoint

Vertical Line Test

A relation is a function if and only if no vertical line intersects the graph of the relation at more than once.

Example 2 Determine if a Relation is a Function

Function Notation

This is a new way of writing functions in terms of two variables (the input x and the output y)

Example 3 Domain and Range of Functions

Checkpoint

Completion Ticket

  1. Please go to deltamath.com and click "Create Account" then "Student"
  2. Type in the teacher code 288838
  3. Please use your kkfs.org email, and create a password you can remember.
  4. Select AlgII/Trig 2019 - 2020 Class from the drop-down menu . Be sure to check only this class.

You've Joined! Complete the Completion Ticket for this lesson before tomorrow's Class. Be sure to bring your guided notes filled out with you as well!