A2CP: 4.1-4.4 Review

Front

What is the domain of a polynomial function?

Back

The domain of a polynomial function is always (-∞, +∞).

Front

What is a leading coefficient?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial. It determines the direction of the graph as x approaches infinity.

Front

Describe the end behavior of a polynomial function with a positive leading coefficient and even degree.

Back

As x → ∞, f(x) → ∞ and as x → -∞, f(x) → ∞.

Front

Describe the end behavior of a polynomial function with a negative leading coefficient and odd degree.

Back

As x → ∞, f(x) → -∞ and as x → -∞, f(x) → ∞.

Front

What does the degree of a polynomial indicate?

Back

The degree of a polynomial indicates the highest power of the variable in the polynomial and affects the shape and end behavior of its graph.

Front

How do you find the maximum height of a rocket modeled by a cubic function?

Back

To find the maximum height, determine the vertex of the cubic function, which can be found using calculus or by analyzing the graph.

Front

What is the significance of the y-intercept in a polynomial function?

Back

The y-intercept is the point where the graph crosses the y-axis, indicating the value of the function when x = 0.

Front

What is the difference between even and odd degree polynomials?

Back

Even degree polynomials have symmetrical graphs about the y-axis, while odd degree polynomials have graphs that are symmetrical about the origin.

Front

How do you determine if a polynomial function is increasing or decreasing?

Back

A polynomial function is increasing where its derivative is positive and decreasing where its derivative is negative.

Front

What is the relationship between the roots of a polynomial and its factors?

Back

The roots of a polynomial are the values of x that make the polynomial equal to zero, and each root corresponds to a factor of the polynomial.