Algebra II Piecewise Functions

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Algebra IIPiecewise Functions

• Edited by Mrs. Harlow

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• Up to now, weve been looking at functions
  represented by a single equation.
• In real life, however, functions are represented
  by a combination of equations, each corresponding
  to a part of the domain.
• These are called piecewise functions.

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• One equation gives the value of f(x) when x 1
• And the other when xgt1

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Evaluate f(x) when x0, x2, x4

• First you have to figure out which equation to
  use
• You NEVER use both

X4
X2
X0 This one fits into the top equation
So 2(4) 1 9 f(4) 9
So 022 f(0)2
This one fits here
So 2(2) 1 5 f(2) 5
This one fits here
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Graph

• For all xs lt 1, use the top graph (to the left
  of 1)
• For all xs 1, use the bottom graph (to the
  right of 1)

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x1 is the breaking point of the graph. To the
left is the top equation. To the right is
the bottom equation.
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Graph
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Step Functions
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Graph
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Assignment