Exploring Even and Odd Functions

What is the main difference between even and odd functions?

• Even functions are negated when reflected about the x-axis, while odd functions are unchanged when reflected about the y-axis.

• Even functions are unchanged when reflected about the y-axis, while odd functions are negated when reflected about the y-axis.

• Even functions are unchanged when reflected about the x-axis, while odd functions are unchanged when reflected about the y-axis.

• Even functions are unchanged when reflected about the origin, while odd functions are negated when reflected about the origin.

Tags

CCSS.HSF.BF.B.3

What happens to an even function when you plug in -x?

• The function becomes undefined.

• The function remains the same.

• The function is negated.

• The function becomes zero.

Tags

CCSS.HSF.BF.B.3

Which of the following is a characteristic of an even function?

• It has no symmetry.

• It is negated when reflected about the x-axis.

• It is unchanged when reflected about the y-axis.

• It can be rotated 180 degrees about the origin.

Tags

CCSS.HSF.BF.B.3

What happens to an odd function when you plug in -x?

• The function becomes zero.

• The function remains the same.

• The function becomes undefined.

• The function is negated.

Tags

CCSS.HSF.BF.B.3

Which of the following is a characteristic of an odd function?

• It can be rotated 180 degrees about the origin.

• It is unchanged when reflected about the y-axis.

• It has no symmetry.

• It is negated when reflected about the x-axis.

Tags

CCSS.HSF.BF.B.3

How can you identify a function that is neither even nor odd?

• It has symmetry about the y-axis.

• It has rotational symmetry about the origin.

• It has no symmetry about the y-axis or the origin.

• It is unchanged when reflected about the x-axis.

Tags

CCSS.HSF.BF.B.3

What is the degree of a polynomial if its end behavior goes in opposite directions?

• Even degree

• Undefined degree

• Odd degree

• Neither even nor odd degree

What must an odd function pass through to have rotational symmetry?

• The x-axis

• None of the above

• The y-axis

• The origin

Tags

CCSS.HSF.BF.B.3

If a function has symmetry about the y-axis, what type of function is it?

• Odd function

• Undefined function

• Even function

• Neither even nor odd function

Tags

CCSS.HSF.BF.B.3

What is the degree and type of a polynomial if its end behavior is in opposite directions and it has rotational symmetry about the origin?

• Even degree and even function

• Odd degree and odd function

• Even degree and odd function

• Odd degree and even function