Finding the end behavior from a polynomial function

The video tutorial covers the concepts of degree and leading coefficient in polynomials, emphasizing the importance of arranging polynomials in descending power. It explains how to determine the end behavior of a polynomial graph, particularly for those with an odd degree and a positive leading coefficient. The tutorial also discusses how the graph behaves as x approaches positive and negative infinity, using left and right hand analysis to understand the graph's behavior.

What is the leading coefficient of a polynomial?

• The sum of all coefficients

• The coefficient of the term with the highest power

• The constant term

• The term with the lowest power

How should a polynomial be arranged to identify its degree and leading coefficient?

• In random order

• In ascending order of power

• In descending order of power

• In alphabetical order

What does the end behavior of a polynomial with an odd degree and positive leading coefficient look like?

• The graph rises to the left and falls to the right

• The graph remains constant

• The graph forms a circle

• The graph falls to the left and rises to the right

As x approaches negative infinity, what happens to the graph of a polynomial with an odd degree and positive leading coefficient?

• The graph stays flat

• The graph oscillates

• The graph goes down

• The graph goes up

What is the behavior of the graph as x approaches positive infinity for a polynomial with an odd degree and positive leading coefficient?

• The graph goes down

• The graph forms a loop

• The graph goes up

• The graph stays constant