# Study sets matching "functions 1"

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…

Domain

Range

Vertical Line Test

Asymptote (or jump)

The set of inputs or x-values

The set of outputs or y-values

A test use to determine if a relation is a function. A relatio…

a graph is not defined at that point

Domain

The set of inputs or x-values

Range

The set of outputs or y-values

Natural Numbers

whole numbers

Integers

Rational Numbers

N = {1,2,3...}

W = {0,1,2,3...}

Z = {...-3, -2, -1, 0, 1, 2, 3, ...}

Q : Numbers that can be written as the ratio of two integers;…

Natural Numbers

N = {1,2,3...}

whole numbers

W = {0,1,2,3...}

Unit Rate

Proportional relationship

Relation

Function

A rate in which the dependent variable is compared to one unit…

A relationship between two quantities in which the ratio of on…

Pairs inputs from the domain with outputs from the range. They…

A relation that pairs each independent input from the domain w…

Unit Rate

A rate in which the dependent variable is compared to one unit…

Proportional relationship

A relationship between two quantities in which the ratio of on…

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

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

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)

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

Slope

Coefficient

Constant

y-intercept

Ratio of the change in dependent variable(y) divided by the ch…

The number that is multiplied by a variable. It is the slope o…

The value that is alone in the linear function rule of y=mx +…

This is the start-at, the point on a table or graph where the…

Slope

Ratio of the change in dependent variable(y) divided by the ch…

Coefficient

The number that is multiplied by a variable. It is the slope o…

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…

Annoyed

Attitude

Commotion

Cranky

Feeling bothered or irritated

A way of thinking, acting, or feeling

A noisy disturbance

Grouchy or in a bad mood

Annoyed

Feeling bothered or irritated

Attitude

A way of thinking, acting, or feeling

Relation

Function

Linear Function

Input

Any set of ordered pairs

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

A function in which the graph of the solutions forms a line

The domain value or x-coordinate

Relation

Any set of ordered pairs

Function

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

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.

Range

Domain

Function

Relation

Output values, y coordinate

Input vales, x coordinate

Relation where each x is paired with exactly one y. X CAN'T re…

Set of ordered pairs

Range

Output values, y coordinate

Domain

Input vales, x coordinate

Exponent

Exponential Expressions

Exponential Function

Perfect Square

The number that indicates how many times the base in a power i…

An algebraic expression in which the variable is in an exponen…

A function in the form f(x)=ab^x where a and b are real number…

A number whose positive square root is a whole number.

Exponent

The number that indicates how many times the base in a power i…

Exponential Expressions

An algebraic expression in which the variable is in an exponen…

Heart

Lungs

Skin

Liver

Function: Pumps blood through the body over and over again ... Sy…

Function: The primary function of the lungs is respiration. Th…

Function: Regulates body temperature, elongates wastes, gather…

Function: Makes urea from the breakdown of proteins in the bod…

Heart

Function: Pumps blood through the body over and over again ... Sy…

Lungs

Function: The primary function of the lungs is respiration. Th…

Relation

Function f(x)

Domain

Range

between two sets, it is a collection of ordered pairs containi…

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

between two sets, it is a collection of ordered pairs containi…

Function f(x)

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

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…

solution

linear equation

slope

y-intercept

An ordered pair that makes an equation a true statement is a _…

Any equation whose graph is a line.

_ = vertical change/horizontal change = rise/run... A ration that…

The point where the line crosses the y-axis. Also, the constan…

solution

An ordered pair that makes an equation a true statement is a _…

linear equation

Any equation whose graph is a line.

What do functions show?

Domain

Range

Methods of representing a function

Functions show a relationship.

Inputs represented by (x)

Outputs represented by (y)

Graph: see right... Equation: (y=mx+b) or f(x)=... ... Table: (set…

What do functions show?

Functions show a relationship.

Domain

Inputs represented by (x)

absolute value

input

output

quadratic function

The distance of a number from zero,.... Examples:... |-5|=5 and |22…

The _______________ value is the independent variable in a rel…

The _______________ value is the dependent variable in a relat…

A graph of a _______________ has a parabolic shape, faces eith…

absolute value

The distance of a number from zero,.... Examples:... |-5|=5 and |22…

input

The _______________ value is the independent variable in a rel…

x-axis

y-axis

domain

range

the horizontal axis of the coordinate plane.

the vertical axis of the coordinate plane.

the input of the function (x-values).

the output of the function (y-values).

x-axis

the horizontal axis of the coordinate plane.

y-axis

the vertical axis of the coordinate plane.