Unit 2: Functions.

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Presentation transcript:

Unit 2: Functions

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

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

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

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)

Graph Exponential Example Log Example

Practice Graphing

Symmetry

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

Symmetry - algebraically

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)