# Study sets matching "functions chapter 4"

Inputs

Outputs

Relation

Mapping diagram

Order pairs can be used to show inputs (x)

Order pairs can be used to show outputs (y)

A relation pairs input with outputs. A relation can be represe…

A relation can be represented by ordered or a mapping diagram.

Inputs

Order pairs can be used to show inputs (x)

Outputs

Order pairs can be used to show outputs (y)

Function

Relation

Domain

Range

a relation where each input has exactly one output

a set of ordered pairs (x, y)

the x-values in a relation

the y-values in a relation

Function

a relation where each input has exactly one output

Relation

a set of ordered pairs (x, y)

Input

Output

Relation

Function

Order pairs can be used to show input values (x)

Order pairs can be used to show output values (y)

A relation pairs input with outputs. A relation can be represe…

A relation that pairs each input with exactly one output. X va…

Input

Order pairs can be used to show input values (x)

Output

Order pairs can be used to show output values (y)

dependent variable

discrete data

family of functions

function

The variable in a relationship that depends on the value of th…

Data with space between possible data values. Graphs are repre…

A set of functions related in some way.

A relation in which each member of the domain (input values) i…

dependent variable

The variable in a relationship that depends on the value of th…

discrete data

Data with space between possible data values. Graphs are repre…

linear equation

relation

domain

range

An equation that makes a straight line when it is graphed.... Of…

...

All of the input or x values in a function

The set of y-coordinates in a relation.

linear equation

An equation that makes a straight line when it is graphed.... Of…

relation

...

coordinate plane

coordinate axes

origin

ordered pairs

plane with two perpendicular number lines

perpendicular number lines

the point where coordinate axes cross

two numbers in a special order; ordered pairs give the locatio…

coordinate plane

plane with two perpendicular number lines

coordinate axes

perpendicular number lines

relative maximum

relative minimum

cubic function

multiplicity

the highest point in a particular section of a graph

The lowest point in a particular section of a graph.

a polynomial function of degree 3

how many ties a particular number is a zero for a given polyno…

relative maximum

the highest point in a particular section of a graph

relative minimum

The lowest point in a particular section of a graph.

Function

Domain

Range

Function Table

When every x value has only one y value

In an ordered pair, the x-coordinates.

In an ordered pair, the y-coordinates.

Organizes the domain, rule and range of a function as a table.

Function

When every x value has only one y value

Domain

In an ordered pair, the x-coordinates.

continuous data

dependent variable

discrete data

domain

data that can take on any value, no space between data values,…

the variable in a relation with a value that depends on the va…

Data with space between possible data values. Graphs are repre…

The set of all input (x-coordinate) values for a function or r…

continuous data

data that can take on any value, no space between data values,…

dependent variable

the variable in a relation with a value that depends on the va…

Linear equation

Nonlinear equation

relation

domain

an equation that when graphed, forms one straight line.

an equation that when graphed, does NOT form one straight line.

a set of ordered pairs

all of the X (input) values in a relation

Linear equation

an equation that when graphed, forms one straight line.

Nonlinear equation

an equation that when graphed, does NOT form one straight line.

coordinate plane

quadrant

x-axis

y-axis

two number lines drawn perpendicular to each other

one of four areas created by the axis in the coordinate plane

the horizontal number line in the coordinate plane

the vertical number line in the coordinate plane

coordinate plane

two number lines drawn perpendicular to each other

quadrant

one of four areas created by the axis in the coordinate plane

linear function

rate of change

slope

slope intercept form

a function with points that lie on a line.

same as slope

vertical change/horizontal change

y = mx + b

linear function

a function with points that lie on a line.

rate of change

same as slope

Input

Output

Relation

Function

Order pairs can be used to show input values (x)

Order pairs can be used to show output values (y)

A relation pairs input with outputs. A relation can be represe…

A relation that pairs each input with exactly one output. X va…

Input

Order pairs can be used to show input values (x)

Output

Order pairs can be used to show output values (y)

Continuous Data

Dependent Variable

Discrete Data

Domain

Data that can take on any value. There is no space between dat…

The variable in a relation with a value that depends on the va…

Data with space between possible data values. Graphs are repre…

The set of x-coordinates in a relation

Continuous Data

Data that can take on any value. There is no space between dat…

Dependent Variable

The variable in a relation with a value that depends on the va…

Continuous Data

Dependent Variable

Discrete Data

Domain

Data that can take on any value. There is no space between dat…

The variable in a relation with a value that depend on the val…

Data with space between possible data values. Graphs are repre…

The set of x-coordinates in a relation.

Continuous Data

Data that can take on any value. There is no space between dat…

Dependent Variable

The variable in a relation with a value that depend on the val…

Parabola

Quadratic function

Vertex form

x = h

The graph of a quadratic function; looks like a U or an upside…

The equation of the axis of symmetry.

Parabola

The graph of a quadratic function; looks like a U or an upside…

Quadratic function

domain

inverse

quadrants

quadrant III

the set of all first coordinated from the ordered pairs in a r…

the switching of coordinates in each ordered pair of a relation

section of the coordinate plane that has ordered pairs where b…

domain

the set of all first coordinated from the ordered pairs in a r…

inverse

the switching of coordinates in each ordered pair of a relation

Arc

Sector

Central angle

Radius

A portion of the circumference of a circle.

The part of a circle enclosed by two radii of a circle and the…

An angle subtended by an arc of a circle, in radians equal to…

A straight line from the center to the circumference of a circ…

Arc

A portion of the circumference of a circle.

Sector

The part of a circle enclosed by two radii of a circle and the…

Factor Theorem

Rational Zeros Theorem

Complex Variable

Rational Function

An important and useful consequence of the remainder theorem;…

Let f be a polynomial function of degree 1 or higher of the fo…

a variable in the complex number system

R(x)=p(x)/q(x) where p and q are polynomial functions and q is…

Factor Theorem

An important and useful consequence of the remainder theorem;…

Rational Zeros Theorem

Let f be a polynomial function of degree 1 or higher of the fo…

trigonometric functions

sine

cosine

tangent

the functions sine, cosine, tangent, cotangent, secant and cos…

in a right triangle the ratio of the opposite side to the hypo…

in a right triangle the ratio of the adjacent side to the hypo…

in a right triangle the ratio of the opposite side to the adja…

trigonometric functions

the functions sine, cosine, tangent, cotangent, secant and cos…

sine

in a right triangle the ratio of the opposite side to the hypo…

coordinate plane

coordinate axes

origin

ordered pairs

plane with two perpendicular number lines

perpendicular number lines

the point where coordinate axes cross

two numbers in a special order; Ordered pairs give the locatio…

coordinate plane

plane with two perpendicular number lines

coordinate axes

perpendicular number lines

coefficient

coordinate plane

transformation

perpendicular

a number that is multiplied by a variable

a plane that is divided into four regions by a horizontal line…

a change in the position, size, or shape of a figure or graph.

intersecting to form 90 degree angle

coefficient

a number that is multiplied by a variable

coordinate plane

a plane that is divided into four regions by a horizontal line…