Piecewise Functions Learning Targets: I can graph piecewise functions.

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Presentation transcript:

Piecewise Functions Learning Targets: I can graph piecewise functions. I can write piecewise functions from a graph

**I can graph Piecewise Functions** a function that is defined on a sequence of intervals. Example: 𝑓 𝑥 = 2𝑥−1, 𝑖𝑓 𝑥≤1 3𝑥+1, 𝑖𝑓 𝑥>1

** I can graph Piecewise Functions** Graphing Piece-Wise Functions: 𝑓 𝑥 = 2𝑥, 𝑖𝑓 𝑥≥1 −𝑥+3, 𝑖𝑓 𝑥<1

**I can graph Piecewise Functions** 𝑓 𝑥 = 𝑥+2, 𝑖𝑓 𝑥≤−1 𝑥+3, 𝑖𝑓−1<𝑥<1 𝑥+1, 𝑖𝑓 𝑥≥1

**I can graph Piecewise Functions** 𝑓 𝑥 = 𝑥+2 , 𝑖𝑓−4≤𝑥≤2 − 𝑥−4 +6, 𝑖𝑓 2≤𝑥≤6

Trivia… 1. Who is this celebrity? Katy Perry 1. Who is this celebrity? 2. Which country is the world's biggest producer of coffee? Brazil

**I can write Piecewise Functions from a graph** Writing Piece-wise Functions. Write the equations for the piecewise function whose graph is shown. 4.)

** I can write Piecewise Functions from a graph ** Writing Piece-wise Functions. Write the equations for the piecewise function whose graph is shown. 5.)

** I can write Piecewise Functions from a graph ** Writing Piece-wise Functions. Write the equations for the piecewise function whose graph is shown. 6.)

Homework: Worksheet

Piece-Wise Pumpkin Project

Restricted Domain (x) / Range (y) Piece-Wise Project Pumpkin Project You are going to make a design for a jack-o-lantern using piecewise functions. You must not only sketch the line on the graph, but also write the function for the line with the proper restricted domain/range. In the table below, record your function and its domain and range as you create your sketch. Required # of Functions: 10 (at least 2 must be absolute value functions.) Function Restricted Domain (x) / Range (y)   Domain: Range: B.  C.   D.  

Piece-Wise Project