Characteristics of Polynomial Graphs

Front

What is the degree of the polynomial: f(x) = 3x² + 4x - 5?

Back

Degree 2 (quadratic)

Front

Match the graph to the function: f(x) = -x⁴-x³+5x²-6, f(x) = x⁴+3x²-3x+1, f(x) = -x³+2x²-x-6, f(x) = x⁴+x³+5x²-6

Back

f(x) = x⁴+x³+5x²-6

Front

Describe the end behavior of f(x) = -5x⁴ - 2x² + 8.

Back

Left side: Falls, Right side: Falls

Front

What type of polynomial is characterized by an even degree and a positive leading coefficient?

Back

Even degree, positive leading coefficient.

Front

Where do you find relative minimums and relative maximums in a polynomial graph?

Back

Turning points

Front

What is the leading coefficient of the polynomial f(x) = 2x⁴ - 3x² + 5?

Back

Leading coefficient is 2.

Front

What does the degree of a polynomial indicate about its graph?

Back

The degree indicates the maximum number of turning points and the end behavior.

Front

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

Back

Left side falls, right side rises.

Front

What is a turning point in the context of polynomial graphs?

Back

A point where the graph changes direction from increasing to decreasing or vice versa.

Front

How can you determine the number of zeros a polynomial can have?

Back

By its degree; a polynomial of degree n can have up to n real zeros.