EOC Review Math III

Front

What is the definition of absolute value?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is denoted as |x|.

Front

What is an inequality?

Back

An inequality is a mathematical statement that indicates one quantity is larger or smaller than another, using symbols such as <, >, ≤, or ≥.

Front

What does the notation |x - a| ≤ b represent?

Back

This notation represents the range of values for x that are within b units of a on the number line.

Front

What is a piecewise function?

Back

A piecewise function is a function defined by multiple sub-functions, each applying to a certain interval of the domain.

Front

How do you evaluate a piecewise function?

Back

To evaluate a piecewise function, determine which interval the input value falls into and use the corresponding sub-function.

Front

What is the factored form of a polynomial?

Back

The factored form of a polynomial expresses it as a product of its factors, which can be linear or irreducible polynomials.

Front

What is the effect of a positive constant k on the graph of f(x) = k(x - a)^n?

Back

As k increases, the graph is stretched vertically, making it steeper.

Front

What is the difference between a polynomial and a rational function?

Back

A polynomial is a function that consists of terms with non-negative integer exponents, while a rational function is a ratio of two polynomials.

Front

What is the process of dividing polynomials called?

Back

The process of dividing polynomials is called polynomial long division.

Front

What is the significance of the leading coefficient in a polynomial?

Back

The leading coefficient determines the end behavior of the polynomial function as x approaches positive or negative infinity.