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Examine the function, , graphed at right.

  1. Is even, odd, or neither?

    Even functions have reflective symmetry across the -axis. Odd functions have rotational symmetry about the origin.

  2. If , what is ? Explain.

  3. If and , what is the value of ? Explain.

  4. If you know the values of and , how can you determine the value of ? Justify your process with a diagram, if necessary.

    Refer to the steps in part (c) for more guidance.