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Home > PC3 > Chapter 10 > Lesson 10.1.2 > Problem 10-28

10-28.

Consider the functions and .

The graph of an even function is symmetric across the -axis.
The graph of an odd function has rotational symmetry about the origin.

  1. Is even, odd, or neither? Justify your answer algebraically.

  2. Is even, odd, or neither? Justify your answer algebraically.

  3. Approximate the area under over the interval . Clearly show your method.

    Choose a number of rectangles, say . Then each rectangle will have a width of . The height will be . Calculate:

  4. Approximate the area under over the interval . Clearly show your method.

    Sketch the curve and then sketch some rectangles in the given interval. What do you notice?