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Title: Library of Functions Piecewise-Defined Functions
Description: This is a study guide all about piecewise functions.

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3
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1
1
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1
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1
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1
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1
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1
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1
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2
2
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1


3

x

2
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2
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3
3
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3
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3
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3
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3
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3
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2

3
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4

Constant Function
f (x) = b

4
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4
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4
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4
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5

Identity Function
f (x) = x

5
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5
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5
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6

Square Function
f (x) = x2

6
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3

6
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6
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7

Cube Function
f (x) =

7
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7
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7
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8

Square Root Function
f (x) =

8
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8
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8
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9

Cube Root Function
f (x) =

9
...

4


3

x

9
...


9
...


10

Reciprocal Function
f (x) =

10
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10
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10
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11

Absolute Value Function
f (x) = |x|

11
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11
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11
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12

Greatest Integer Function
f (x) = int(x)

5

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13

Functions
Constant
Identity
Square
Cube
SquareRoot
CubeRoot
Reciprocal
Absolute

14

f (x) = b
f (x) = x
f (x) = x2
f (x) = √3
x
f (x) = √x
f (x) = 3 x
1
f (x) = x
f (x) = |x|

Continuous

When a graph with no gaps or holes that can be drawn without lifting a pencil
from the paper
...


16

Step Function

A graph of the greatest integer function, f (x) = int(x) is a common example
since the graph itself steps up from one value to the next one, which the graph
itself looks like a staircase
Title: Library of Functions Piecewise-Defined Functions
Description: This is a study guide all about piecewise functions.