Math 3 EOC Review

Front

What is the definition of multiplicity in relation to roots of a polynomial?

Back

Multiplicity refers to the number of times a particular root appears in a polynomial equation. A root with a multiplicity of 2 means that the polynomial touches the x-axis at that point but does not cross it.

Front

What is an asymptote in graphing?

Back

An asymptote is a line that a graph approaches but never touches. It can be vertical, horizontal, or oblique.

Front

What is the formula for the length of an arc in a circle?

Back

Front

What happens to the graph of a polynomial at a root with multiplicity 2?

Back

The graph will bounce off the root, meaning it touches the x-axis at that point but does not cross it.

Front

What is the formula for the volume of a sphere?

Back

Front

What is the difference between a vertical and horizontal asymptote?

Back

A vertical asymptote indicates where a function approaches infinity, while a horizontal asymptote indicates the value that a function approaches as x approaches infinity.

Front

How do you determine the multiplicity of a root from a polynomial equation?

Back

The multiplicity of a root can be determined by factoring the polynomial. Each factor contributes to the multiplicity based on its exponent.

Front

What is the formula for the area of a triangle?

Back

Front

What is the significance of the y-intercept in a graph?

Back

Front

What is the relationship between the degree of a polynomial and the number of roots it can have?

Back

The degree of a polynomial indicates the maximum number of roots it can have. A polynomial of degree n can have up to n roots.