Graphing Polynomial Functions Review

Front

What is the range of a polynomial function if the degree is odd?

Back

The range of a polynomial function is all real numbers.

Front

Identify the real zeros and their multiplicities for the polynomial f(x)= x²(x – 2)³(x – 7).

Back

0 (Multiplicity of 2), 2 (Multiplicity of 3), 7 (Multiplicity of 1).

Front

What two factors describe the end behavior of a polynomial function?

Back

The degree and the leading coefficient.

Front

What is the standard form of the polynomial 7x - 125 - 6x⁴ + 14x²?

Back

-6x⁴ + 14x² + 7x - 125.

Front

What is another term for 'where a function crosses the x-axis'?

Back

x-intercept, zero, root (all of these).

Front

What is the degree of the polynomial function f(x) = 3x⁵ - 2x³ + x - 4?

Back

The degree is 5.

Front

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

Back

Set the polynomial equal to zero and solve for x.

Front

What does the leading coefficient of a polynomial determine?

Back

It determines the direction of the graph as x approaches positive or negative infinity.

Front

What is the multiplicity of a root?

Back

The multiplicity of a root is the number of times that root appears in the factored form of the polynomial.

Front

What is the standard form of a polynomial?

Back

A polynomial is in standard form when its terms are written in descending order of degree.