If you studied the writing equations unit, you learned how to write equations given two points and given slope and a point. We are going to use this same skill when working with functions. The only thing different is the function notation.
You first must be able to identify an ordered pair that is written in function notation. This can be a little tricky, but hopefully when you see this example, it will all make sense. Remember that "f(x)" is really just a fancy notation for what is really the "y" variable.
Ok.. now that you know how to write an ordered pair from function notation, let's look at an example of how we must use function notation to graph two points on a grid.
Ok, that was pretty easy, right? Yes...now do you see how Math has that spiral effect? You already knew this skill, but it's coming back in a different format.
Next we are going to take it one step further and find the slope of the graph for a linear function. Take a look at this example.
Yes, that was easy! Once you have the ordered pairs, you can use the slope formula to find the slope. Do you see how it all ties together?
Now, let's take it one step further. We are going to find an equation for a linear function. Notice how we use steps from example 2 to start this problem.
Is it all coming back to you now? Remember that in this particular function lesson, you really aren't learning any new material. You are applying what you know about equations and simply stating your answer in a much fancier format.
We will continue studying linear functions in the next lesson, as we have a lot to cover. Keep going, you are doing great!
Sign Up for Algebra Class E-courses
"I'd like to start off by relaying my sincerest gratitude for your dedication in teaching algebra. Your methodology is by far the simplest to follow, primarily because you take the time to include the small steps in between that most other teachers leave out.
It helps to know why you are doing something. I am 45 and heading to college to get my BS in Business. I need to brush up, hence the visit to your site. Great Job!"
Jimmy - United States
"I stumbled onto your site after I found out that I needed to use some fundamental algebra for an assignment. Turns out I had forgotten some things and your great site helped me remember them like "that" (snap of fingers). The organization of the site let me find exactly what I was looking for so easily. Kudos to you for maintaining such a great resource for students of all ages!"
Tom - United States
"I just wanted to write and basically thank you for making such a wonderful website! I'm 20 years old and about to take a basic placement test for college. I wanted to brush up on my Algebra skills and I stumbled upon your site. I'm amazed at how simple you make it and how fast I'm remembering Algebra! I don't remember getting most of the answers right when I had an actual teacher in front of me teaching this. Thanks a lot!"
Elizabeth - United States
"I am a pensioner living in South Africa. I stumbled on your website, the best thing that could ever happen to me! Your course in Algebra has helped me a lot to better understand the different concepts. Thank you very much for sharing your skills for teaching math to even people like me. Please do not stop, as I am sure that your teachings have helped thousands of people like me all over the world."
Noel - South Africa
This is an amazing program. In one weekend I used it to teach my Grade 9 daughter most of the introductory topics in Linear Relations. I took her up to Rate of Change and now she can do her homework by herself.
Reg - United States
Copyright © 2009-2013 Karin Hutchinson ALL RIGHTS RESERVED