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Piecewise Functions Learning Targets: I can graph piecewise functions.

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Presentation on theme: "Piecewise Functions Learning Targets: I can graph piecewise functions."β€” Presentation transcript:

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

2 **I can graph Piecewise Functions**
a function that is defined on a sequence of intervals. Example: 𝑓 π‘₯ = 2π‘₯βˆ’1, 𝑖𝑓 π‘₯≀1 3π‘₯+1, 𝑖𝑓 π‘₯>1

3 ** I can graph Piecewise Functions**
Graphing Piece-Wise Functions: 𝑓 π‘₯ = 2π‘₯, 𝑖𝑓 π‘₯β‰₯1 βˆ’π‘₯+3, 𝑖𝑓 π‘₯<1

4 **I can graph Piecewise Functions**
𝑓 π‘₯ = π‘₯+2, 𝑖𝑓 π‘₯β‰€βˆ’1 π‘₯+3, π‘–π‘“βˆ’1<π‘₯<1 π‘₯+1, 𝑖𝑓 π‘₯β‰₯1

5 **I can graph Piecewise Functions**
𝑓 π‘₯ = π‘₯+2 , π‘–π‘“βˆ’4≀π‘₯≀2 βˆ’ π‘₯βˆ’4 +6, 𝑖𝑓 2≀π‘₯≀6

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

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

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

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

10 Homework: Worksheet

11 Piece-Wise Pumpkin Project

12 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.Β  C. Β  D. Β 

13 Piece-Wise Project


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