# Study sets matching "functions 1"

Study sets

Diagrams

Classes

Users

Relation

Function f(x)

Domain

Range

a set of ordered pairs: { (1,4), ( 1,5), (4,5), (3,2)}

A relation for which each element of the domain corresponds to…

The set of inputs or x-values

The set of outputs or y-values

Relation

a set of ordered pairs: { (1,4), ( 1,5), (4,5), (3,2)}

Function f(x)

A relation for which each element of the domain corresponds to…

Relation

Function f(x)

Domain

Range

a set of ordered pairs: { (1,4), ( 1,5), (4,5), (3,2)}

A relation for which each element of the domain corresponds to…

The set of inputs or x-values

The set of outputs or y-values

Relation

a set of ordered pairs: { (1,4), ( 1,5), (4,5), (3,2)}

Function f(x)

A relation for which each element of the domain corresponds to…

Power Function

Polynomial Function

Coefficient

Degree

The simplest type of polynomial function and has the form f(x)…

An expression that can have constants, variables and exponents…

A numerical or constant quantity placed before and multiplying…

In a polynomial, the exponent of the greatest power of x.

Power Function

The simplest type of polynomial function and has the form f(x)…

Polynomial Function

An expression that can have constants, variables and exponents…

Function

Independent Variable

Dependent Variable

Domain

A relationship in which each element of the domain (input or x…

The input or x-value.

The output or y-value. This variable depends on the input.

The set of all possible input values (x) of a function.

Function

A relationship in which each element of the domain (input or x…

Independent Variable

The input or x-value.

Function

Input

Output

Function Notation

A relationship where each input (independent variable) has exa…

The independent variable used to evaluate a function at a spec…

The result obtained by entering an input into a function. The…

An equation written as f(x) to represent the output.

Function

A relationship where each input (independent variable) has exa…

Input

The independent variable used to evaluate a function at a spec…

linear equation

slope

Types of Slope

y-intercept

An equation in two variables whose graph in a coordinate plane…

A ratio comparing the change in output over the change in inpu…

Algebraically, the value of the output when the input is zero…

linear equation

An equation in two variables whose graph in a coordinate plane…

slope

A ratio comparing the change in output over the change in inpu…

Polynomial

Term (math)

Monomial

Binomial

A mathematical expression that is the sum of a number of terms.

Any coefficient and variable or constant in a mathematical exp…

A mathematical expression consisting of a single term.

A mathematical expression consisting of two terms.

Polynomial

A mathematical expression that is the sum of a number of terms.

Term (math)

Any coefficient and variable or constant in a mathematical exp…

Function

Independent Variable

Dependent Variable

Domain

A relation in which each element of the domain (input or x) is…

The input or x-value.

The output or y-value. This variable depends on the input.

The set of all possible input values (x) of a function.

Function

A relation in which each element of the domain (input or x) is…

Independent Variable

The input or x-value.

Quadratic Function

Parabola

Vertex

Axis of Symmetry

A function whose input is squared. This means there will alway…

A symmetrical curve formed by a quadratic function.

The input that yields the minimum or maximum output value of a…

A vertical line (x=a) that divides a parabola into two symmetr…

Quadratic Function

A function whose input is squared. This means there will alway…

Parabola

A symmetrical curve formed by a quadratic function.

linear equation

slope

y-intercept

x-intercept

An equation in two variables whose graph in a coordinate plane…

A ratio comparing the change in output over the change in inpu…

The value of the output when the input is zero (0, y). The poi…

The value of the input when the output is zero (x, 0). The poi…

linear equation

An equation in two variables whose graph in a coordinate plane…

slope

A ratio comparing the change in output over the change in inpu…

Continuous Graph

Discrete Graph

Domain

Range

Graphs that are connected lines or curves

Graphs that are distinct points

The set of all x-values in a relation

The set of all y-values in a relation

Continuous Graph

Graphs that are connected lines or curves

Discrete Graph

Graphs that are distinct points

function

relation

graph of the function

input

a relation in which for every input there is exactly one outpu…

any set of ordered pairs (x, y)

The set of all points x, y that forms a graph in the xy-plane.

the first coordinate of an ordered pair in a relation (x,y)

function

a relation in which for every input there is exactly one outpu…

relation

any set of ordered pairs (x, y)

function

domain

range

dependent variable

A relationship that assigns one input value to exactly one out…

The set of input values of a relation.

The set of output values of a relation.

a variable (often denoted by y ) whose value depends on that o…

function

A relationship that assigns one input value to exactly one out…

domain

The set of input values of a relation.

real numbers, R

integers, Z

rational numbers, Q

irrational numbers

set of all rational and irrational numbers

whole numbers which can be positive, negative or zero

numbers which can be expressed as a fraction of two integers

numbers which cannot be expressed as a fraction. When written…

real numbers, R

set of all rational and irrational numbers

integers, Z

whole numbers which can be positive, negative or zero

Function

Independent Variable

Dependent Variable

Domain

A relation in which each element of the domain (input or x) is…

The input or x-value.

The output or y-value. This variable depends on the input.

The set of all possible input values (x) of a function.

Function

A relation in which each element of the domain (input or x) is…

Independent Variable

The input or x-value.

linear equation

slope

Types of Slope

y-intercept

An equation in two variables whose graph in a coordinate plane…

A ratio comparing the change in output over the change in inpu…

Algebraically, the value of the output when the input is zero…

linear equation

An equation in two variables whose graph in a coordinate plane…

slope

A ratio comparing the change in output over the change in inpu…

Relation

Function

Domain

Range

Any set of ordered pairs

A relation in which each member of the domain(input value) is…

The set of x-coordinates in an equation

The set of y-coordinates in an equation

Relation

Any set of ordered pairs

Function

A relation in which each member of the domain(input value) is…