1. Unit 2: Functions

2. What do we need to do or change for Unit 2?
Things to keep:
Things to change:

3. Translations
First, you have to know what the parent functions look like!
Parent functions…

6. We did this in Alg 2! Graph the parent function and move it! Ex:
Left or right?
Up or down?
Flip or normal?

7. New to Pre-Calc…
-f(x)
If there is a negative in the front it is a reflection over the x-axis. (flip)
f(-x)
If there is a negative on the “inside” it is a reflection over the y-axis. (mirror imaged)

8. Graph
Exponential Example
Log Example

9. Practice Graphing

10. Symmetry

11. Symmetry - Examples w/ respect to the y-axis (EVEN)
f(x) = x2
w/ respect to the x-axis (ODD)
x = y2
w/ respect to the origin
f(x) = x3

14. Symmetry - algebraically

15. Homework P. 99 (47-54, 63-66 state end behavior using limits too)
p. 109 (29-31 no calc…just graph, 35, 38, 39, 41)