HA2 Unit 2 Mid Review for Finals

Front

What does it mean if the graph of a function crosses the x-axis?

Back

The zero has an ODD multiplicity.

Front

What is the factored form of a function with zeros at -1, 2, and 3, where (x - 3) has a multiplicity of 2?

Back

Front

Describe the end behavior of a 14th degree polynomial with a positive leading coefficient.

Back

As x gets larger in the negative direction, y gets larger in the positive direction; as x gets larger in the positive direction, y gets larger in the positive direction.

Front

Describe the end behavior of a 9th degree polynomial with a negative leading coefficient.

Back

As x gets larger in the negative direction, y gets larger in the positive direction; as x gets larger in the positive direction, y gets larger in the negative direction.

Front

What is the expression for a function g(x) with zeros at 4, -1/2, and -6?

Back

Front

What is the definition of a polynomial function?

Back

Front

What is the leading coefficient of a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial.

Front

What does the degree of a polynomial indicate about its graph?

Back

The degree of a polynomial indicates the maximum number of x-intercepts (real roots) and the end behavior of the graph.

Front

What is the relationship between the multiplicity of a zero and the behavior of the graph at that zero?

Back

If a zero has an ODD multiplicity, the graph crosses the x-axis at that zero. If it has an EVEN multiplicity, the graph touches the x-axis and turns around.

Front

How do you determine the end behavior of a polynomial function?

Back

The end behavior is determined by the degree and leading coefficient of the polynomial.