1. 2.2 Function Library Learning Objective: to identify different types of functions and their transformations. Also, to graph piecewise functions. Warm-up (IN) 1.Determine if the relation is a function: b. yes no

2. Notes! Linear Function (Identity function) Absolute Value Function Quadratic Function (Square function) Cubic Function Radical Function (Square root) Cube Root Function

3. Transformations - Changes to the original function made by performing an operation on the original function 1 – Vertical translation - 2 – Horizontal translation - 3 – Reflection - Reflects over the x-axis 4 – Vertical stretch/compression - Vertical stretch Vertical compression Check out this website! And this one too!

4. Ex 1 – Indicate the transformations and sketch the graph. Reflects over the x-axis 3 3 4

5. Piecewise functions - Functions whose definition involve more than 1 rule, graph is in pieces. Discontinuity happens at any breaks in the graph (the x-values) Ex 2 – graph the piecewise function and state any discontinuity No discontinuity Disc at x=0

6. HW – pg. 32-33, #9-18, 29-32, 43-45, 47 Out – discuss the transformations of Summary – Today I learned… Don’t forget about POW!!