Unit 3

Features of Functions

In Unit 3, we will explore the various features that make functions unique and fascinating. We will discuss maximums, minimums, x-intercepts, y-intercepts, domain, range, intervals of increasing, intervals of decreasing, and constant intervals. You will learn how to identify and analyze these features, helping you unravel the hidden secrets within mathematical functions.

Lesson 1

This first lesson is all about telling a story, which is exactly what graphs do. So, we are going to be given a story and have to make a graph that will match it. At the end of this lesson you will be introduced to a lot of new vocab words that we will cover in lesson 2.

Story Graphs

Creating Graphs to Represent Stories

Lesson 2

Lesson 2 is about identifying Key Features of Functions. We are going to identify when the function is increasing/decreasing/constant, where our maximums and minimums are, and the domain and range of a function. Mastery of this lesson is required to be successful on the Unit 3 Assessment, so I have attached extra videos for you.

Characteristics of a Function

Key Features of a Function Algebra 2

Characteristics of Functions

Identifying the Relative Maximum and Minimum Values of a Function

How to determine the intervals that a function is increasing decreasing or constant

Interval notation for where functions Increase, Decrease, Constant

Domain and Rangle of a Function Froma Graph

Lesson 3

This lesson is all about practicing identifying key features of functions. We spent Lesson 2 learning about these features, now we are going to identify them some more. You will need to be able to do this on your test. I have also placed some practice problems here for you as well.

Lesson 4

There are two topics discussed in Lesson 4. Writing the equations of a graph shown, and Adding functions together. We've practiced writing the equations of graphs before so this shouldn't be new to us. For help with that, please refer to units 1 and 2. Adding functions together is sorta new, but it is just combining like terms which we have practiced before.

How to add two functions

Adding Linear Expressions

Lesson 5

Lesson 5 is all about what we call Function Notation. We have seen Function Notation before. It helps us find Inputs and Outputs. Here area few videos for you to watch about how to use it in different scenarios.

Function Notation in Graphs

Algebra 1 function Notation with Graphs and Applications Video

Linear Equations in Function Notation (Simplifying Math)

Function Notation in Context

Extra Practice

We have done a ton of problems in class for this unit, but in case it wasn't enough, here are some Khan Academy links to things that will be helpful. There are videos, practice quizzes, and worked examples here to help your prepare for your unit assessment.

Functions | Algebra 1 | Math | Khan AcademyA function is like a machine that takes an input and gives an output. Let's explore how we can graph, analyze, and create different types of functions.

What is a function? (video) | Functions | Khan AcademyLearn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere.

Unit 3 Assessment Review Video

Here is the Video of me working through the Unit 3 Assessment Review. Use this to check your answers or to better understand how to do the problems on the review.

Alg 1 U3 Review Vid.mp4

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