### Home > CALC > Chapter 4 > Lesson 4.1.1 > Problem4-7

4-7.
1. Examine f(x) graphed at right. Homework Help ✎

1. Is f(x) even, odd, or neither?

2. If , what is ? Explain.

3. If and find . Explain.

4. If you know that and , how can you find ? Justify your process with a diagram, if necessary.

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

$\int_{0}^{2}f(x)dx = 10 \text{ means the exact area under }f(x)\text{ between }x=-2 \text{ and }x=2\text{ is }10.$

$\int_{2}^{3}f(x)dx=\int_{0}^{3}f(x)dx-\int_{0}^{2}f(x)dx=$

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