Exploring Even and Odd Function Graphs

The video tutorial discusses various types of polynomial functions, including linear, quadratic, cubic, quartic, and quantic functions. It explains the degree of each function, the number of turning points, and how the leading coefficient affects the end behavior of the graph. The tutorial also highlights the differences in behavior between odd and even degree functions, emphasizing the importance of the leading coefficient in determining the graph's end behavior.

What is the degree of a linear function?

• 3

• 2

• 1

• 0

How many turning points does a quadratic function have?

• 1

• 2

• 3

• 0

What happens to the right end of a cubic function when the leading coefficient is positive?

• It stays constant

• It oscillates

• It goes down

• It goes up

How many turning points can a quartic function have at most?

• 1

• 2

• 3

• 4

What is the degree of a quantic function?

• 6

• 3

• 4

• 5

What is a common characteristic of all odd degree functions?

• They have no turning points

• One end up and one end down

• Both ends go down

• Both ends go up

For an even degree function with a positive leading coefficient, what is the end behavior?

• Both ends go up

• Both ends go down

• It oscillates

• One end up and one end down

What determines the end behavior of a polynomial function?

• The leading coefficient

• The degree

• The constant term

• The number of turning points

If the leading coefficient of an odd degree function is negative, what happens to the right end?

• It goes up

• It oscillates

• It goes down

• It stays constant

For an even degree function with a negative leading coefficient, what is the end behavior?

• Both ends go up

• Both ends go down

• One end up and one end down

• It oscillates