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Home > CALC > Chapter 2 > Lesson 2.3.1 > Problem 2-108

2-108.

Given:   

  1. Rewrite as a piecewise function.

    Notice how this graph differs from . From this we can determine that there will be three pieces, and we already know the first and last piece.

    The middle piece is a vertical reflection of .



  2. Using set notation, state the domain and range of .

    Consider how the range of differs from the range of .

  3. Estimate by any method.

    A trapezoidal sum is an option.

  4. Write a Riemann sum to approximate with rectangles of equal width and evaluate the sum.

    The height is determined by the function.

Use the eTool below to help answer each part:
Click on the link to the right to view the full version of the eTool. Calc 2-108 HW eTool