We went over translations during the entire class period today! Hopefully you are beginning to see how these functions move, but it can take some time before this material really clicks. Be sure to check out the websites on the right, especially "Visual Functions," if you are still having trouble with these problems. We will spend a few minutes tomorrow going over Transformations, but then we will be moving on to Composite Functions.
Composite functions are pretty easy because it is just performing basic operations on 2 functions instead of 1. For example, (f+g)(x) = f(x) + g(x)....so if f(x) = x + 3 and g(x) = 2x + 2 then, (f+g)(x) = (x +3) + (2x + 2).....or simplified.... (f+g)(x) = 3x + 5
We will go over this tomorrow but you should look through the examples on pages 84-85 before class. This is your only homework, other than the question below, but make sure you do it!
Have a great day!
- Homework: Read over pages 84-85 and review your homework from last night; Also complete pg. 80 13-18
- Your next test will be Friday, October 5th!
Posting for Points:
Using your book and/or the brief notes from above, what would (f - g)(x) equal ? (it follows the same pattern as above)