Identifying Even and Odd Functions from Tables

What is the definition of an even function?

• f(x) = x

• f(x) = f(-x)

• f(x) = -f(x)

• f(x) = -f(-x)

What is the definition of an odd function?

• f(x) = f(-x)

• f(x) = -f(x)

• f(x) = -f(-x)

• f(x) = x

In the first example, what is f(7) equal to?

• -2

• 2

• -1

• 1

In the first example, what is f(-3) equal to?

• 2

• -1

• 1

• -2

In the second example, what is f(-5) equal to?

• -2

• 2

• 1

• 0

Why is the function in the second example neither even nor odd?

• Because f(-5) is equal to 2

• Because f(5) is equal to -f(5)

• Because f(5) is equal to f(-5)

• Because f(-5) is not equal to f(5) or -f(5)

In the third example, what is f(-4) equal to?

• -8

• 8

• 0

• 4

In the third example, what is f(-1) equal to?

• 1

• 0

• -5

• 5

Why is the function in the third example considered odd?

• Because f(x) is equal to x

• Because f(-x) is equal to -f(x)

• Because f(x) is equal to -f(x)

• Because f(-x) is equal to f(x)

What is f(0) equal to in the third example?

• 5

• -1

• 1

• 0