Even, Odd or Neither

Front

What is an even function?

Back

A function f(x) is called even if for every x in the domain, f(-x) = f(x).

Tags

CCSS.HSF.BF.B.3

Front

What is an odd function?

Back

A function f(x) is called odd if for every x in the domain, f(-x) = -f(x).

Tags

CCSS.HSF.BF.B.3

Front

What does it mean if a function is neither even nor odd?

Back

A function is neither even nor odd if it does not satisfy the conditions for being even or odd.

Tags

CCSS.HSF.BF.B.3

Front

Identify if the function f(x) = x^2 + 2 is even, odd, or neither.

Back

Even

Tags

CCSS.HSF.BF.B.3

Front

Identify if the function f(x) = x^3 is even, odd, or neither.

Back

Odd

Tags

CCSS.HSF.BF.B.3

Front

Identify if the function f(x) = x^4 + x^3 is even, odd, or neither.

Back

Even

Tags

CCSS.HSF.BF.B.3

Front

Identify if the function f(x) = x^5 + x^3 is even, odd, or neither.

Back

Odd

Tags

CCSS.HSF.BF.B.3

Front

What is the graphical representation of an even function?

Back

The graph of an even function is symmetric about the y-axis.

Tags

CCSS.HSF.BF.B.3

Front

What is the graphical representation of an odd function?

Back

The graph of an odd function is symmetric about the origin.

Tags

CCSS.HSF.BF.B.3

Front

Give an example of an even function.

Back

f(x) = x^2 is an example of an even function.

Tags

CCSS.HSF.BF.B.3