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Exponential DECAY graphs

Exponential GROWTH graph

"multiplying by the same amount" means…

"adding by the same amount" means...

Decay goes down

Growth goes up

The equation or data is an EXPONENTIAL function

The equation or data is a LINEAR function

Exponential DECAY graphs

Decay goes down

Exponential GROWTH graph

Growth goes up

Relation

Function

Vertical line test

Domain

A set of ordered pairs

A relation where no two ordered pairs in the relation have th…

A relation is a function if no vertical line can be drawn tha…

Set of all the x-coordinates

Relation

A set of ordered pairs

Function

A relation where no two ordered pairs in the relation have th…

Sets

Relations

Functions

Function

Collection of distinct objects

A set where the objects are ordered pairs... Ex: {(2,3), (4,5),…

A special relation or set that says for each value of X serie…

{(2,3), (4,7), (-2,3)}

Sets

Collection of distinct objects

Relations

A set where the objects are ordered pairs... Ex: {(2,3), (4,5),…

Function

Non-function

Interval

Domain

A function is a point on a graph that passes the verical line…

A graph that is a nonfunction would be a graph that touches t…

APPLIES TO X VALUES. Always goes from the lowest value to the…

Set of all X values.

Function

A function is a point on a graph that passes the verical line…

Non-function

A graph that is a nonfunction would be a graph that touches t…

What are the main functions?

What does a quadratic table look like?

What does a quadratic graph look like?

What does an absolute value table look…

quadratic, absolute value, square root, exponential, and linear

-The x goes up by a constant value... -The y goes down, then goe…

A parabla

-The x goes up by a constant... -The y goes down by a constant v…

What are the main functions?

quadratic, absolute value, square root, exponential, and linear

What does a quadratic table look like?

-The x goes up by a constant value... -The y goes down, then goe…

linear function

function rule

slope

function

a function whose graph is a nonvertical line with a constant…

the equation that describes the relationship between inputs a…

the rate of change between any two points on a line, calculat…

a relation that pairs each input with EXACTLY ONE output (eac…

linear function

a function whose graph is a nonvertical line with a constant…

function rule

the equation that describes the relationship between inputs a…

function

relation

domain

range

a relation where every input has exactly one output... *the x ca…

A relation between two sets is a collection of ordered pairs…

The set of values of the independent variable(s) for which a…

The difference between the lowest and highest values. In {4,…

function

a relation where every input has exactly one output... *the x ca…

relation

A relation between two sets is a collection of ordered pairs…

Relation

Domain

Range

Function

A pairing of elements of one set with elements of a second se…

The list of input values, or x-values, or values from the ind…

The list of output values, or y-values, or values from the de…

For every input value, there is only one option for output va…

Relation

A pairing of elements of one set with elements of a second se…

Domain

The list of input values, or x-values, or values from the ind…

Input

Output

Function

f(x)

The number you put into a function (independent variable, x)

The number you get out of a function (dependent variable, y)

The relationship between numbers where each x has one y. For…

The same as y= ... Function notation... "Function of x"

Input

The number you put into a function (independent variable, x)

Output

The number you get out of a function (dependent variable, y)

Linear Function and Constant

Exponential Function and Decreasing

Linear Function and Decreasing

Quadratic Function and Minimum

What is the name of the function family and is it increasing,…

What is the name of the function family and is it increasing,…

What is the name of the function family and is it increasing,…

What is the name of the function family and does it have a ma…

Linear Function and Constant

What is the name of the function family and is it increasing,…

Exponential Function and Decreasing

What is the name of the function family and is it increasing,…

Axis of Symmetry

Binomial

Constant

Degree of a Monomial

Vertical line that intersects the vertex of a parabola. If th…

Sum or difference of two monomials (it has two unlike terms w…

A term that has no variable factor, has a degree of zero.

The sum of the exponents of the variables.

Axis of Symmetry

Vertical line that intersects the vertex of a parabola. If th…

Binomial

Sum or difference of two monomials (it has two unlike terms w…

Quadratic Function

Parabola

Vertex of a Parabola

Axis of Symmetry

a function that can be written in the form of y=a(x-p)2+q. Th…

the symmetrical curve of a graph of a quadratic function

the lowest or highest point on a parabola

a line through the vertex that cuts the curve into 2 halves.…

Quadratic Function

a function that can be written in the form of y=a(x-p)2+q. Th…

Parabola

the symmetrical curve of a graph of a quadratic function

linear function

function rule

slope

nonlinear function

a function whose graph is a nonvertical line with a constant…

the equation that describes the relationship between inputs a…

the rate of change between any two points on a line, calculat…

a function that does NOT have a constant rate of change

linear function

a function whose graph is a nonvertical line with a constant…

function rule

the equation that describes the relationship between inputs a…

To translate a graph up...

To translate a graph down...

To translate a graph right...

To translate a graph left...

Add a number.

Subtract a number.

Subtract a number "within."

Add a number "within."

To translate a graph up...

Add a number.

To translate a graph down...

Subtract a number.

Function

Discrete Function

Continuous Function

Linear Function

Each input(x) has only one unique output(y)

A set of individual points that aren't connected

A set of points that are connected, and for each input there…

A straight line, with a slope. It can be written in an equati…

Function

Each input(x) has only one unique output(y)

Discrete Function

A set of individual points that aren't connected

What does the function of f(x)=x look…

What does the function of f(x)=x² look…

What does the function of f(x)=x³ look…

If f(x)=x³, and our new function g(x)=…

...

...

...

Reflection is happening. What would be the rule for this tran…

What does the function of f(x)=x look…

...

What does the function of f(x)=x² look…

...

Axis of Symmetry

Binomal

Constant

Degree of monomial

vertical line that goes through the middle of a paraballa, wh…

Polynomial with 2 terms, Sum or difference of 2 monomials

A value that does not change, degree of 0

the sum of the exponents of the variables of a monomial

Axis of Symmetry

vertical line that goes through the middle of a paraballa, wh…

Binomal

Polynomial with 2 terms, Sum or difference of 2 monomials

Defn.: Relation

Defn.: Function

Defn.: Domain

Defn.: Range

A set of ordered pairs

A mathematical relationship such that each x-value can only p…

The set of all the first numbers (x-values) of the ordered pa…

The second set of numbers (y-values) in each pair

Defn.: Relation

A set of ordered pairs

Defn.: Function

A mathematical relationship such that each x-value can only p…

Inputs

Output

Function

Constant

A value that is plugged into a function; the function then re…

The value a function returns when an input is plugged into th…

A relationship between quantities referred to as inputs and o…

A function for which the output is the same, or constant, for…

Inputs

A value that is plugged into a function; the function then re…

Output

The value a function returns when an input is plugged into th…

Financial Accounting

The most important way financial accou…

Management Accounting

Managers use management accounting inf…

Focuses on reporting financial information to external partie…

compensation, which is often, in part, based on numbers in fi…

the process of measuring, analyzing, and reporting financial…

Develop, communicate, and implement strategies.

Financial Accounting

Focuses on reporting financial information to external partie…

The most important way financial accou…

compensation, which is often, in part, based on numbers in fi…

values of x that are allowed by the fu…

values of y that are allowed by the fu…

if a vertical line is run along the wh…

a line which a graph approaches but ca…

domain

range

vertical line test

asymptote

values of x that are allowed by the fu…

domain

values of y that are allowed by the fu…

range

exponent

base

standard form or standard notation

expanded form

a number that tells how many time a number is multiplied by i…

the number being mutiplied

the common name for a number

when a number is written as the product of its factors

exponent

a number that tells how many time a number is multiplied by i…

base

the number being mutiplied

Cost Object

Direct Costs

Indirect Cost

opportunity costs

Thing or activity for which we measure costs

Easily traced to individual cost objects because of clear cau…

Not easily traced to individual cost objects

The Benefits we forego when we choose one alternative over th…

Cost Object

Thing or activity for which we measure costs

Direct Costs

Easily traced to individual cost objects because of clear cau…

Relation

Domain

Range

Function

A pairing of elements of one set with elements of a second se…

First element of an ordered pair ... ^^(also known as the abscis…

Second element of an ordered pair... ^^(also known as the ordina…

example->

Relation

A pairing of elements of one set with elements of a second se…

Domain

First element of an ordered pair ... ^^(also known as the abscis…

function

minimum

zeros

y intercept

a relationship or expression involving one or more variables

The lowest known or lowest possible number, measure, quantity…

sometimes called a root, of a real-, complex- or generally ve…

The value where a straight line crosses the Y axis of a graph

function

a relationship or expression involving one or more variables

minimum

The lowest known or lowest possible number, measure, quantity…

Linear Function

Exponential Function

Logarithmic Function

Logistic Function

f(x)= a(x) + b... Constant slope... Constant rate of change

f(x)= a(b)^x... Constant percentage change (b-1) x 100%... One conc…

f(x)= a +b(ln)x... One concavity determined by b... b>0 concave dow…

L/1+ Ae^-bx ... 2 concavities... Horizontal asymptote at y=0 and y=…

Linear Function

f(x)= a(x) + b... Constant slope... Constant rate of change

Exponential Function

f(x)= a(b)^x... Constant percentage change (b-1) x 100%... One conc…

what is the difference between a varia…

what is the model for a linear function?

what is the domain of a linear function?

what is the range of a linear function?

parameters stay constant while variables are always changing

f(x)=ax+b

(negative infinity, positive infinity)

(negative infinity, positive infinity)

what is the difference between a varia…

parameters stay constant while variables are always changing

what is the model for a linear function?

f(x)=ax+b

what is the difference between a varia…

what is the model for a linear function?

what is the domain of a linear function?

what is the range of a linear function?

parameters stay constant while variables are always changing

f(x)=ax+b

(negative infinity, positive infinity)

(negative infinity, positive infinity)

what is the difference between a varia…

parameters stay constant while variables are always changing

what is the model for a linear function?

f(x)=ax+b

what is the difference between a varia…

what is the model for a linear function?

what is the domain of a linear function?

what is the range of a linear function?

parameters stay constant while variables are always changing

f(x)=ax+b

(negative infinity, positive infinity)

(negative infinity, positive infinity)

what is the difference between a varia…

parameters stay constant while variables are always changing

what is the model for a linear function?

f(x)=ax+b

What is the y-intercept?

What is the y intercept from the follo…

What is direct variation?

Which equations are direct variations?…

the point at which the graph line crosses the y axis. When x=0.

7, -34, and 45.

when the y intercept equals zero, when there is no additional…

y= -x and y= 89x are direct variations.

What is the y-intercept?

the point at which the graph line crosses the y axis. When x=0.

What is the y intercept from the follo…

7, -34, and 45.

Relations

Domain

Range

Function

mapping, table, graph, equation

X values of a relation aka Dixie

y values of a relation aka Royd

set of orderd pairs;a relation in which the domain does not r…

Relations

mapping, table, graph, equation

Domain

X values of a relation aka Dixie

Banks are _

ATM

Bank

Debit Card

service institutions, to provide businesses and individuals b…

Automated Teller Machine: permits the customer to make transa…

service institutions set up to provide businesses and individ…

can be used like a credit card, but money is deducted directl…

Banks are _

service institutions, to provide businesses and individuals b…

ATM

Automated Teller Machine: permits the customer to make transa…

Perimeter

Area

Range

Mean

The distance around a 2D shape

The space inside a 2D shape

The difference between the biggest and smallest number

Average - calculated by adding all the numbers together and d…

Perimeter

The distance around a 2D shape

Area

The space inside a 2D shape