How to determine the end behavior of a polynomial not in general form

The video tutorial focuses on understanding the end behavior of polynomials by analyzing the leading term. It emphasizes the importance of the leading term in determining the degree and leading coefficient, which influence the graph's behavior. The tutorial explains the characteristics of even functions, particularly parabolas, and how they open based on the leading coefficient. It also guides on writing formal end behavior statements and highlights the consistency required in these statements.

What is the primary focus when determining the end behavior of a polynomial?

• The middle term

• All terms equally

• The leading term

• The constant term

How does the leading coefficient affect the graph of an even function?

• It determines the width of the graph

• It affects the color of the graph

• It decides whether the graph opens upwards or downwards

• It changes the number of roots

What is the shape of the most common even function?

• A parabola

• A line

• A hyperbola

• A circle

When writing end behavior statements, what do the input values approach?

• The origin

• The y-axis

• Infinity and negative infinity

• Zero

In end behavior statements, what does the output value indicate?

• The direction of the graph

• The number of roots

• The color of the graph

• The speed of the graph