12-5 Polynomial Graphs (Assessment)

Front

What is the effect of a multiplicity of 2 on a polynomial graph?

Back

The graph will 'bounce' off the x-axis at the root.

Front

What type of function is represented by a graph that is symmetric about the origin?

Back

Odd function.

Front

What is the effect of a multiplicity of 1 on a polynomial graph?

Back

The graph will 'cross' the x-axis at the root.

Front

What is the Remainder Theorem?

Back

The remainder of a polynomial f(x) when divided by (x - c) is f(c).

Front

How can you determine if a function is even?

Back

A function is even if f(-x) = f(x) for all x in the domain.

Front

How can you determine if a function is odd?

Back

A function is odd if f(-x) = -f(x) for all x in the domain.

Front

What does it mean for a polynomial to have a degree of 4?

Back

The highest exponent of the variable in the polynomial is 4.

Front

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

Back

It determines the end behavior of the graph.

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 to positive infinity.

Front

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

Back

The left end of the graph rises to positive infinity and the right end falls to negative infinity.