20 terms

Dependent Quality

When one quantity depends on another in a problem

situation, it is said to be the dependent quantity.

situation, it is said to be the dependent quantity.

Independent Quality

The quantity that the dependent quantity depends upon

is called the independent quantity.

is called the independent quantity.

Relation

The mapping between a set of input values

called the domain and a set of output values called the

range.

called the domain and a set of output values called the

range.

Domain

The set of input values in a relation.

Range

The set of output values in a relation.

Function

A relation between a given set of elements,

such that for each element in the domain there exists

exactly one element in the range.

such that for each element in the domain there exists

exactly one element in the range.

Vertical Line Test

A visual method used to

determine whether a relation represented as a graph is

a function

determine whether a relation represented as a graph is

a function

Discrete Graph

A graph which includes multiple points that are not connected by a line or a shape.

Function Notation

A way of representing functions

algebraically.

algebraically.

Increasing Function

If a function increases across the entire domain, then

the function is called an increasing function

the function is called an increasing function

Decreasing Function

If a function decreases across the entire domain, then

the function is called a decreasing function.

the function is called a decreasing function.

Constant Function

If the dependent variable of a function does not change

or remains constant over the entire domain, then the

function is called a constant function.

or remains constant over the entire domain, then the

function is called a constant function.

Function Family

A group of functions that share

certain characteristics.

Example:

Linear functions and exponential functions are examples of ____________.

certain characteristics.

Example:

Linear functions and exponential functions are examples of ____________.

Linear Function

This family includes functions of the

form f(x)= mx + b, where m and b are real numbers.

Example: f(x) = 3x + 2

form f(x)= mx + b, where m and b are real numbers.

Example: f(x) = 3x + 2

Exponential Function

This family includes functions of

the form f(x) = a • b^x

, where a and b are real numbers,

and b is greater than 0 but is not equal to 1.

the form f(x) = a • b^x

, where a and b are real numbers,

and b is greater than 0 but is not equal to 1.

Absolute Maximum

This function has a

point that has a y-coordinate that is greater than the

y-coordinates of every other point on the graph.

point that has a y-coordinate that is greater than the

y-coordinates of every other point on the graph.

Absolute Minimum

This function has a

point that has a y-coordinate that is less than the

y-coordinates of every other point on the graph.

point that has a y-coordinate that is less than the

y-coordinates of every other point on the graph.

Quadratic Function

In factored form this function is written in the

form f(x) = a(x - r1)(x - r2), where a does not equal 0. Hint*Y = ax^2 + bx + c

form f(x) = a(x - r1)(x - r2), where a does not equal 0. Hint*Y = ax^2 + bx + c

Linear Absolute Value Function

The _______ ________ function shows a graph of a number is its distance from zero

on the number line.

on the number line.

Linear Piece-wise Function

This type of functions include functions that have

equation changes for different parts, or pieces, of the

domain.

equation changes for different parts, or pieces, of the

domain.