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Section 2.3 Properties of Functions

Determine if a given graph is an even, odd, or neither even nor odd function. Analyze constant, increasing, and decreasing regions of the function.

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Section 2.3 Properties of Functions

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  1. Section 2.3 Properties of Functions

  2. OBJECTIVE 1

  3. For an even function, for every point (x, y) on the graph, the point (-x, y) is also on the graph.

  4. So for an odd function, for every point (x, y) on the graph, the point (-x, -y) is also on the graph.

  5. Determine whether each graph given is an even function, an odd function, or a function that is neither even nor odd.

  6. OBJECTIVE 2

  7. OBJECTIVE 3 CONSTANT INCREASING DECREASING

  8. Where is the function increasing?

  9. Where is the function decreasing?

  10. Where is the function constant?

  11. OBJECTIVE 4

  12. OBJECTIVE 5

  13. OBJECTIVE 6

  14. From 0 to 1 From 0 to 3 From 0 to 5

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