Polynomial Functions and End Behavior Quiz

What is a polynomial function in one variable?

• A function with only constant terms

• A function with no variables

• A function with a single variable

• A function with multiple variables

How do you determine the degree of a polynomial?

• By adding all the coefficients

• By multiplying all the exponents

• By identifying the term with the highest exponent

• By counting the number of terms

What is the leading coefficient of a polynomial?

• The product of all coefficients

• The coefficient of the term with the lowest degree

• The sum of all coefficients

• The coefficient of the term with the highest degree

Why is the expression 'a^S' not considered a polynomial in one variable?

• It is a constant term

• It has no coefficients

• It is a linear term

• It has more than one variable

What is the first step in substituting '2x - 1' into a polynomial?

• Divide each term by '2x - 1'

• Add '2x - 1' to each term

• Replace every instance of 'm' with '2x - 1'

• Multiply all terms by 2

What happens to the graph of a polynomial with an even degree and a positive leading coefficient as x approaches infinity?

• The graph oscillates

• The graph approaches positive infinity

• The graph remains constant

• The graph approaches negative infinity

How does the graph of a polynomial with an odd degree and a negative leading coefficient behave as x approaches negative infinity?

• The graph remains constant

• The graph approaches negative infinity

• The graph approaches positive infinity

• The graph oscillates

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

• Both ends of the graph go up

• Both ends of the graph go down

• One end goes up and the other goes down

• The graph remains constant

How can you identify the number of zeros in a polynomial graph?

• By counting the number of peaks

• By counting the number of times the graph crosses the x-axis

• By counting the number of terms

• By counting the number of coefficients

What does it mean if a polynomial graph has four zeros?

• The graph has four peaks

• The graph crosses the x-axis four times

• The graph has four coefficients

• The graph has four terms