Section 2 1 1 Piecewise Functions Continuity SWBAT

Section 2. 1. 1 Piecewise Functions & Continuity

SWBAT learn how functions can be constructed using more than one equation, find sums of sequences, find area under a curve using rectangles and trapezoids, and understand what area under a curve represents in real world applications Language: SW will explain to a neighbor what will be required to find area under the curve

Activity: Teacher-Directed Instruction C CONVERSATION: Voice level 0. No talking! H HELP: Raise your hand wait to be called on. A ACTIVITY: Whole class instruction; students in seats. M P S MOVEMENT: Remain in seat during instruction. PARTICIPATION: Look at teacher or materials being discussed. Raise hand to contribute; respond to questions, write or perform other actions as directed. NO SLEEPING OR PUTTING HEAD DOWN, TEXTING, DOING OTHER WORK.

A piecewise function is a function that uses different rules for different parts of its domain. A transition point or joint point is the xvalue where the function changes.

a) Find f(2) b) Evaluate the function for x = 5

Calculator method: Separate each expression and use division to represent the domain.

Continuity Layman’s Description: A function is continuous if the graph can be drawn without lifting the pencil from the paper. Now sketch the two graphs from Math Notes page 64.

Assignment Pg 63 #2 -1 TO 2 -14