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

1-138.

Given a portion of the graph of

*f*(*x*) below: 1-138 eTool (Desmos). Homework Help ✎

Sketch the rest of

*f*(*x*) if*f*(*x*) is even and find*A*(*f*,*−*3 ≤*x*≤ 3).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.

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Click the link at right for the full version of the eTool: Calc 1-138 HW eTool