Unit 1 - Analyzing Functions and Their Characteristics

Domain & Range of Functions - Now that you're in algebra 2, you're going to find that the material is very similar to algebra 1, but with a more detailed look at how these functions work. So, to start, let's take a look at some characteristics of these functions, particularly domain and range.

• Lesson - Domain & Range of Functions

Characteristics of Functions: Graphs - So you know how the domain and range works in a function. But what about whether or not it is an increasing, or decreasing function? Or what about if there's a dip. or a specific high? Maybe you're a little fuzzy on what the zeroes are? Here we look a little more at some characteristics that can be found in different types of functions.

• Lesson - Characteristics of Function Graphs

Characteristics of Functions: Graphs Day 2 - You've now covered most of what a function can have. Now, we need to look at the rate of change. Of course, with linear functions, it remains pretty steady, but what about functions that aren't linear? Can we find a rate of change for parabolas? What about more complex graphs? Well, here's how to find it.

• Lesson - Characteristics of Function Graphs Day 2

  • What you may need for this lesson: The Many Faces of Slope PowerPoint

End Behavior of Functions - The last part that we will cover is the end behavior of a function. Now, most functions do not end, so it's important for us to know that if they don't end, do they keep going up towards positive infinity? Or down to negative infinity? Here's how to tell!

• Lesson - End Behavior of Functions

  • What you may need for this lesson: The Many Faces of Slope PowerPoint

Transformations of Functions - Let's say you have a function that you know would work out perfectly for whatever it is you may be working on. However, when you graph it, you realize that it doesn't fit where it's supposed to. How can you change that? Well, this lesson right here can show you how to stretch it, compress it, or move it along the graph. Check it out!

• Lesson - Transformations of Functions

Inverse Functions - Now let's say you've created a series of functions, but you realize that one of those functions is actually messing up the whole big pile of functions, and you can't figure out how to undo it! Well, not to worry! That's what the inverse of a function does, undo what the original function does. Find out how to find it, use it, and more here!

• Lesson - Inverse Functions

  • What you may need for this lesson: Undoing Procedures PowerPoint