Graphing Polynomials

Front

What is the y-intercept of the polynomial f(x) = x^3 - 5x^2 - 25x + 125?

Back

(0, 125)

Front

What two factors determine the end behavior of a polynomial?

Back

The degree and the leading coefficient.

Front

List the zeros of the function f(x)=(x+4)(x-3)(x-2).

Back

x = -4, x = 3, x = 2.

Front

Which of the following could be the equation of the graph in factored form: y=-(x+1)(x-2)(x-4), y=(x+1)^2(x-2)(x-4)^3, y=x(x+1)(x-2)(x-4), y=(x+1)^3(x-3)(x-1)^2?

Back

y=-(x+1)(x-2)(x-4)

Front

How would you describe the graph of a polynomial over the interval (−1, 2) if it is increasing?

Back

The graph rises as x moves from -1 to 2.

Front

What is the degree of the polynomial f(x) = 2x^4 - 3x^3 + x - 5?

Back

4 (the highest power of x).

Front

What does the leading coefficient of a polynomial indicate about its end behavior?

Back

It determines whether the ends of the graph rise or fall.

Front

How do you find the y-intercept of a polynomial function?

Back

Substitute x = 0 into the function.

Front

What is a zero of a polynomial function?

Back

A value of x that makes the function equal to zero.

Front

What is the factored form of a polynomial?

Back

A representation of a polynomial as a product of its factors.