1.3functions2 - Section 1.3 More on Functions and Their...

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Section 1.3 More on Functions and Their Graphs
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Increasing and Decreasing Functions
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The open intervals describing where functions increase, decrease, or are constant, use x-coordinates and not the y-coordinates.
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Example Find where the graph is increasing? Where is it decreasing? Where is it constant? -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 y
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Example Find where the graph is increasing? Where is it decreasing? Where is it constant? -3 -2 -1 1 2 3 4 5 6 7 -5 -4 -3 -2 -1 1 2 3 4
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Example Find where the graph is increasing? Where is it decreasing? Where is it constant? -4 -3 -2 -1 1 2 3 4 5 6 -3 -2 -1 1 2 3 4 5
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Relative Maxima And Relative Minima
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Example Where are the relative minimums? Where are the relative maximums? Why are the maximums and minimums called relative or local? -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 y
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Even and Odd Functions and Symmetry
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A graph is symmetric with respect to the y-axis if, for every point (x,y) on the graph, the point (-x,y) is also on the graph. All even functions have graphs with this kind of symmetry.
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  • Fall '06
  • Moffett
  • $0.40, $20, Even and odd functions, $1.00, 1 oz

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