Unit 3 Remediation Assignment

Front

What is the factored form of a polynomial?

Back

The factored form of a polynomial expresses it as a product of its factors, which can include linear factors and constants.

Front

What does multiplicity mean in the context of polynomial roots?

Back

Multiplicity refers to the number of times a particular root appears in a polynomial. A root with an even multiplicity touches the x-axis, while a root with an odd multiplicity crosses it.

Front

Is a constant function a polynomial?

Back

Yes, a constant function is a polynomial of degree 0.

Front

What is the average rate of change of a function?

Back

The average rate of change of a function between two points is the change in the function's value divided by the change in the input value over that interval.

Front

How do you determine the interval with the greatest rate of change?

Back

To find the interval with the greatest rate of change, calculate the average rate of change for each interval and compare the results.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What is a polynomial equation?

Back

A polynomial equation is an equation that involves a polynomial expression, which can include variables raised to whole number powers and coefficients.

Front

What is the significance of the leading coefficient in a polynomial?

Back

The leading coefficient determines the end behavior of the polynomial function and influences its shape.

Front

What does it mean for a function to be increasing on an interval?

Back

A function is increasing on an interval if, as the input values increase, the output values also increase.

Front

What is the difference between a linear function and a quadratic function?

Back

A linear function has a degree of 1 and graphs as a straight line, while a quadratic function has a degree of 2 and graphs as a parabola.