Piecewise Functions
**I can graph Piecewise Functions**
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
Piece-Wise Functions:
a function that is defined on a sequence
of intervals.
Example:
2𝑥 − 1, 𝑖𝑓 𝑥 ≤ 1
𝑓 𝑥 =
3𝑥 + 1, 𝑖𝑓 𝑥 > 1
Piecewise Functions
** I can graph Piecewise Functions**
Graphing Piece-Wise Functions:
2𝑥,
𝑖𝑓 𝑥 ≥ 1
𝑓 𝑥 =
−𝑥 + 3, 𝑖𝑓 𝑥 < 1
Piecewise Functions
**I can graph Piecewise Functions**

𝑓 𝑥 =
𝑥 + 2,
𝑥 + 3,
𝑥 + 1,
𝑖𝑓 𝑥 ≤ −1
𝑖𝑓 − 1 < 𝑥 < 1
𝑖𝑓 𝑥 ≥ 1
Piecewise Functions
**I can graph Piecewise Functions**

𝑥 + 2 , 𝑖𝑓 − 4 ≤ 𝑥 ≤ 2
𝑓 𝑥 =
− 𝑥 − 4 + 6, 𝑖𝑓 2 ≤ 𝑥 ≤ 6
Katy Perry
1. Who is this
celebrity?
2. Which country is the
world's biggest producer
of coffee?
Brazil
Piecewise Functions
**I can write Piecewise Functions from a graph**
Writing Piece-wise Functions.
Write the equations for the piecewise function
whose graph is shown.
4.)

Piecewise Functions
** I can write Piecewise Functions from a graph **
Writing Piece-wise Functions.
Write the equations for the piecewise function
whose graph is shown.
5.)

Piecewise Functions
** 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
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
A.
B.
C.
D.
Restricted Domain (x) / Range (y)
Domain:
Range:
Domain:
Range:
Domain:
Range:
Domain:
Range:
Piece-Wise Project