Graphing Polynomials Assessment Review

Front

What is the end behavior of a polynomial function that goes down to the left and down to the right?

Back

The end behavior is represented by a polynomial with a negative leading coefficient and an even degree.

Front

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

Back

The zeros are x = -4, x = 3, x = 2.

Front

What does the notation x→−∞ represent?

Back

It represents the left direction on the x-axis.

Front

According to the Fundamental Theorem of Algebra, how many zeros does a polynomial of degree n have?

Back

A polynomial of degree n has exactly n zeros (counting multiplicities).

Front

Determine if the polynomial f(x) = -7x^3 + 11x^5 - 4x^6 + 113x is odd or even.

Back

The polynomial is EVEN because the highest degree term is even.

Front

What is the leading coefficient of the polynomial -x^2 - 3x + 1?

Back

The leading coefficient is -1.

Front

How do you find the zeros of a polynomial function?

Back

Set the polynomial equal to zero and solve for x.

Front

What is the degree of the polynomial f(x) = x^5 - 4x^4 + 2x^2 - 1?

Back

The degree is 5.

Front

What does it mean for a polynomial to be odd?

Back

A polynomial is odd if f(-x) = -f(x) for all x.

Front

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

Back

The leading term determines the end behavior of the polynomial.