1. Properties of Functions
Section 3.3
Properties of Functions
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3. For an even function, for every point (x, y) on the graph, the point (-x, y) is also on the graph.
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4. So for an odd function, for every point (x, y) on the graph, the point (-x, -y) is also on the graph.
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6. Determine whether each graph given is an even function, an odd function, or a function that is neither even nor odd.
Even function because it is symmetric with respect to the y-axis
Neither even nor odd because no symmetry with respect to the y-axis or the origin.
Odd function because it is symmetric with respect to the origin.
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7. Determine whether each graph given is an even function, an odd function, or a function that is neither even nor odd.
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8. Determine whether each graph given is an even function, an odd function, or a function that is neither even nor odd.
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9. Determine whether each graph given is an even function, an odd function, or a function that is neither even nor odd.
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13. CONSTANT INCREASING DECREASING
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14. Where is the function increasing?
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15. Where is the function decreasing?
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16. Where is the function constant?
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27. There is a local maximum when x = 1.
The local maximum value is 2
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28. There is a local minimum when x = –1 and x = 3.
The local minima values are 1 and 0.
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29. (e) List the intervals on which f is increasing.
(f) List the intervals on which f is decreasing.
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39. a) From 1 to 3
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40. b) From 1 to 5
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41. c) From 1 to 7
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46. -4 3 2
-25
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