Exploring Polynomial Graphs and End Behavior

The video tutorial explains the attributes of polynomial functions, focusing on end behavior. It covers how to determine the end behavior of polynomial graphs using leading coefficients and degrees. The tutorial provides examples to illustrate how the right and left end behaviors are influenced by whether the leading coefficient is positive or negative and whether the degree is odd or even.

What forms of polynomial functions were discussed in the introduction?

• Linear form and exponential form

• Quadratic form and cubic form

• Factored form and standard form

• Rational form and irrational form

What is the term used to describe the behavior of a polynomial graph at its extreme ends?

• Vertex behavior

• Intercept behavior

• Midpoint behavior

• End behavior

Which part of a polynomial equation determines the right end behavior?

• Degree

• Middle term

• Leading coefficient

• Constant term

If the leading coefficient of a polynomial is negative, what is the right end behavior?

• The graph goes up

• The graph goes down

• The graph oscillates

• The graph stays constant

What does the degree of a polynomial tell us about its left end behavior?

• It tells us the slope of the graph

• It tells us the direction of the left end

• It tells us the x-intercept

• It tells us the y-intercept

If a polynomial has an odd degree, how does the left end behavior compare to the right end behavior?

• It oscillates

• It goes in the same direction

• It goes in the opposite direction

• It stays constant

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

• Both ends go up

• Both ends go down

• Left end goes up, right end goes down

• Left end goes down, right end goes up

In the example y = x^2, what is the end behavior of the graph?

• Left end goes up, right end goes down

• Both ends go down

• Left end goes down, right end goes up

• Both ends go up

What is the right end behavior of the polynomial y = -x^3?

• The graph goes up

• The graph goes down

• The graph stays constant

• The graph oscillates

For the polynomial y = x^5, what is the left end behavior?

• The graph goes down

• The graph goes up

• The graph stays constant

• The graph oscillates