3.2 Graphing Polynomial Functions

Front

What is the end behavior of f(x) = -5x^4 - 2x^2 + 8?

Back

Left side: Falls, Right side: Falls

Front

Is the leading coefficient of f(x) = -5x^4 - 2x^2 + 8 positive or negative?

Back

Negative

Front

What is the end behavior of f(x) = 2x^2 + 6x^5 + 10x?

Back

Left side: Falls, Right side: Rises

Front

Is the leading coefficient of f(x) = 2x^2 + 6x^5 + 10x positive or negative?

Back

Positive

Front

Which equation MOST LIKELY matches the graph of a polynomial function? y = x^4 - x^3 + 3x^2 + 2, y = -x^4 + x^3 + 5x + 2, y = x^3 - 2x^2 + 1x + 3, y = -x^3 - 2x^2 + 1x + 3

Back

y = x^4 - x^3 + 3x^2 + 2

Front

What does the leading coefficient determine in a polynomial function?

Back

The direction of the end behavior of the graph.

Front

What is the degree of the polynomial f(x) = -5x^4 - 2x^2 + 8?

Back

4

Front

How does the degree of a polynomial affect its end behavior?

Back

Even degree: both ends rise or fall together; Odd degree: one end rises, the other falls.

Front

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

Back

It dominates the behavior of the function as x approaches infinity or negative infinity.

Front

What is the end behavior of f(x) = -3x^5 + 2x^3 - x + 1?

Back

Left side: Rises, Right side: Falls.