Polynomial Characteristics

Front

What does f(x) > 0 indicate about the graph?

Back

The graph is above the x-axis.

Front

What does f(x) < 0 indicate about the graph?

Back

The graph is below the x-axis.

Front

What is the parent function of a quadratic equation?

Back

y = x^2.

Front

List the transformations for y = -(x + 4)^2 - 3.

Back

Reflect over x, left 4, down 3.

Front

What are the x-values where f(x) > 0 for the function f(x) = (x + 2)(x + 1)(x - 3)?

Back

-2 and -1.

Front

What are the x-values where f(x) < 0 for the function f(x) = (x + 2)(x + 1)(x - 3)?

Back

-1 and 3.

Front

How do you determine the x-intercepts of a polynomial function?

Back

Set f(x) = 0 and solve for x.

Front

What is the effect of a negative leading coefficient in a polynomial function?

Back

The graph opens downwards.

Front

What is the degree of the polynomial function f(x) = 2x^3 - 4x + 1?

Back

3.

Front

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

Back

Both ends of the graph rise.