WARM-UP

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WARM-UP

• Is the ordered pair (-6,-5) a solution to the
  inequality 2x -4y lt 8?
• 2. Solve the linear inequalities
• y gt (3/5) x 3
• 4x 2y gt -3

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Graphing Piecewise Functions
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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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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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Now you try!

• Evaluate f(x) for f(-3), f(-1), f(5)

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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 graph the top equation, pick two points less
than 1. Since this is a linear function we can
just plot two points and connect them.
To graph the bottom equation graph, pick two
points greater than or equal to 1. Since this is
a linear function we can just plot two points and
connect them.
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Now you try to Graph
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Step Functions
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You try to graph
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Graphing Piecewise functions

• Regardless of what the piecewise function is, to
  graph
• Find the breaking points and draw a dashed
  vertical line.
• Plot points for the correct domain(s)
• Determine if the graph is continuous or if it has
  a hole.