5.5 Some Functions Have Symmetry

5.5 Some Functions Have Symmetry

LEARNING TARGET:

"I can identify even and odd functions by their graphs and/or tables."

The table show Clare's elevation on a Ferris Wheel at different times, t. Clare got on the ride 80 seconds ago. Right now, at time 0 seconds she is at the top of the ride.

Assuming the Ferris Wheel moves at a constant speed for the next 80 seconds, complete the table.

​5.1: Changing Heights

Poll

Rate your understanding of the following learning target:

"I can identify even and odd functions from graphs and/or tables."

• I still have no clue what this means.

• I have a general idea, but still can't do this on my own.

• I could do most of the activities independently, but I still have a few questions.

• I got this! I'm ready to take a quiz/test.

• I'm SO confident! Not only could I take a quiz/test, I could teach this to someone else.

Categorize

Options (8)

Organize the following graphs into their function family.

LINEAR

TRIGONOMETRIC

POLYNOMIAL

OTHER

EVEN vs ODD Graphs
Pre-test

Categorize

Options (8)

Categorize the following functions based on whether they are EVEN or ODD.

EVEN

ODD

Functions are "EVEN" if they are symmetric about the y-axis.

This means the function is "split in half" by the y-axis.

​EVEN Functions

Functions are "ODD" if they are symmetric about ORIGIN.

This means the function is reflected diagonally between quadrants.

​ODD
Functions

Categorize

Options (8)

GIVE IT ANOTHER GO!

Categorize the following functions based on whether they are EVEN or ODD.

EVEN

ODD

EVEN vs ODD Tables
Pre-test

Categorize

Options (8)

Categorize the following tables based on whether the function is EVEN or ODD.

EVEN

ODD

If a function is EVEN, the points on the graph will have:

SAME y-values for
OPPOSITE x-values.

For example, the point (-6, -5) becomes (6, -5).

This must be true for ALL points!

​Tables of EVEN Functions

If a function is ODD, the points on the graph will have:

OPPOSITE x-values and y-values for corresponding points.

For example, the point (-4, 5.25) become the point (4, -5.25)

This must be true for ALL points!

​Tables of ODD Functions

Categorize

Options (8)

GIVE IT ANOTHER GO!

Categorize the following tables based on whether the function is EVEN or ODD.

EVEN

ODD

Poll

Rate your understanding of the following learning target:

"I can identify even and odd functions from graphs and/or tables."

• I still have no clue what this means.

• I have a general idea, but still can't do this on my own.

• I could do most of the activities independently, but I still have a few questions.

• I got this! I'm ready to take a quiz/test.

• I'm SO confident! Not only could I take a quiz/test, I could teach this to someone else.