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Home > CALC > Chapter 1 > Lesson 1.4.1 > Problem 1-138

1-138.
  1. Given a portion of the graph of f(x) below: 1-138 eTool (Desmos). Homework Help ✎

    1. Sketch the rest of f(x) if f(x) is even and find A(f, 3 ≤ x ≤ 3).

    2. Sketch the rest of f(x) if f(x) is odd and find A(f, −3 ≤ x ≤ 3).

If a function is even, it is symmetric about the y-axis.

If a function is odd, it also has 180º rotational symmetry about the origin.

Because of the symmetry of the areas, A(f, −3 ≤ x ≤ 3) = 0.

Use the eTool below to visualize this problem.
Click the link at right for the full version of the eTool: Calc 1-138 HW eTool