Graphing Polynomial Functions Review

Front

Classify by degree of polynomial: 3x² – 8x + 1

Back

Quadratic

Front

State the range of the function: y ≤ 0

Back

The range is all values of y that are less than or equal to 0.

Front

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

Back

-6x⁴ + 14x² + 7x - 125

Front

If the graph of a function touches/bounces off the x-axis, what does that mean about the multiplicity of that zero?

Back

The multiplicity is Even.

Front

Describe the end behavior of f(x) = 2x² + 6x⁵ + 10x.

Back

Left side: Falls, Right side: Rises.

Front

What is a polynomial function?

Back

A function that can be expressed in the form f(x) = a_nx^n + a_(n-1)x^(n-1) + ... + a_1x + a_0, where a_n ≠ 0.

Front

What is the degree of a polynomial?

Back

The highest power of the variable in the polynomial.

Front

What does it mean for a polynomial to be in standard form?

Back

The polynomial is written in descending order of the degree of its terms.

Front

What is the leading coefficient of a polynomial?

Back

The coefficient of the term with the highest degree.

Front

How do you find the zeros of a polynomial function?

Back

Set the polynomial equal to zero and solve for x.