Graphing Polynomial Functions Review

Front

What does a turning point on the x-axis indicate about the multiplicity of that zero?

Back

Even

Front

Where can you find relative minimums and maximums in a polynomial function?

Back

Turning points

Front

Identify the decreasing interval(s) of the function: f(x) = 2x^2 + 6x^5 + 10x.

Back

(-∞, 0)

Front

Classify the polynomial by degree: 3x^2 – 8x + 1.

Back

Quadratic

Front

Describe the end behavior of f(x) = 2x^2 + 6x^5 + 10x.

Back

Left side: Falls, Right side: Rises

Front

What is the degree of a polynomial with the highest exponent of 5?

Back

5 (Cubic)

Front

What is the general form of a quadratic function?

Back

f(x) = ax^2 + bx + c, where a ≠ 0.

Front

How do you determine the number of turning points in a polynomial function?

Back

The maximum number of turning points is one less than the degree of the polynomial.

Front

What is the significance of the y-intercept in a polynomial function?

Back

It is the value of the function when x = 0.

Front

What does it mean if a polynomial function has an odd degree?

Back

The end behavior will be opposite on both sides.