#### Study sets matching "functions 1"

#### Study sets matching "functions 1"

Unit Rate

Proportional relationship

Relation

Function

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

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

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

A relation that pairs each independent input from the domain…

Unit Rate

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

Proportional relationship

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

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 exponent…

A numerical or constant quantity placed before and multiplyin…

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 exponent…

Slope

Coefficient

Constant

y-intercept

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

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

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 c…

Coefficient

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

function

relation

graph of the function

input

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

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 outp…

relation

any set of ordered pairs (x, y)

Function

Independent Variable

Dependent Variable

Domain

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

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) i…

Independent Variable

The input or x-value.

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…

Exponent

Exponential Expressions

Exponential Function

Perfect Square

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

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

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

A number whose positive square root is a whole number.

Exponent

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

Exponential Expressions

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

Relation

Function f(x)

Domain

Range

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

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

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 contain…

Function f(x)

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

absolute value

input

output

quadratic function

The distance of a number from zero,.... Examples:... |-5|=5 and |2…

The _______________ value is the independent variable in a re…

The _______________ value is the dependent variable in a rela…

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

absolute value

The distance of a number from zero,.... Examples:... |-5|=5 and |2…

input

The _______________ value is the independent variable in a re…

linear equation

slope

y-intercept

x-intercept

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

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

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

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

linear equation

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

slope

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

Function

Input

Output

Function Notation

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

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

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 ex…

Input

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

Heart

Lungs

Skin

Liver

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

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

Function: Regulates body temperature, elongates wastes, gathe…

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

Heart

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

Lungs

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

Relation

Function

Set Notation

Interval Notation

Any representation of an input and its output(s)... Relations g…

An operator that maps an input to 1 distinct output

Relation

Any representation of an input and its output(s)... Relations g…

Function

An operator that maps an input to 1 distinct output

Mapping

Ordered Pair

Relation

Input

A visual representation of a relation in which an arrow assoc…

Shows the relationship between two elements written in a spec…

Information that can be represented by a set of ordered pairs.

The input in an equation. (x)

Mapping

A visual representation of a relation in which an arrow assoc…

Ordered Pair

Shows the relationship between two elements written in a spec…

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: (se…

What do functions show?

Functions show a relationship.

Domain

Inputs represented by (x)

growth hormone

prolactin

thyroid-stimulating hormone

adrenocorticotropic hormone

increases cell size, division, rate, & protein synthesis; (gr…

stimulates milk following birth

stimulates production of thyroxine & growth of thyroid

stimulates secretion of adrenal cortex

growth hormone

increases cell size, division, rate, & protein synthesis; (gr…

prolactin

stimulates milk following birth

Continuous Graph

Discrete Graph

Relation

Domain

a graph using lines and/or curves

a graph using individual points that are not connected

two sets of numbers (data) that are connected or related in s…

the set of all x-values (input) in a relation

Continuous Graph

a graph using lines and/or curves

Discrete Graph

a graph using individual points that are not connected

Linear Function

Exponential Growth

Exponential Decay

Absolute Value

f(x)=mx+b... m=slope... b= yintercept... D: all real numbers... R: all re…

f(x)=a(b)^x... a=initial value... b=rate of change... b>1... D: all real…

f(x)=a(b)^x... a=initial value... b=rate of change... b<1 and b>0... D: a…

f(x)=|x|... no parameters... D: all real numbers... R: y>0 or y=0

Linear Function

f(x)=mx+b... m=slope... b= yintercept... D: all real numbers... R: all re…

Exponential Growth

f(x)=a(b)^x... a=initial value... b=rate of change... b>1... D: all real…

Function

Input

Output

Domain

Rule that converts an input into at most one output

X value or domain & can never repeat in a function.

Known as Y value, range or the answer to a function & it is o…

Set of all Inputs

Function

Rule that converts an input into at most one output

Input

X value or domain & can never repeat in a function.

Slope = $12 per 16 ounces... OR $0.75 per…

Slope = 2 cm per day

Slope = $13 per month ... or $26 per 2 mo…

$2 per 5 apples OR $0.40 per apple

What is the rate of change (slope)?

What is the rate of change (slope)?

What is the rate of change (slope)?

What is the rate of change (slope)?

Slope = $12 per 16 ounces... OR $0.75 per…

What is the rate of change (slope)?

Slope = 2 cm per day

What is the rate of change (slope)?

domain

function

graph

input value

The set of all input values for a relation or function. For e…

A relation in which for each input value there is one and onl…

A graph represents numerical information spatially. The numbe…

The input value is the independent variable in a relation. We…

domain

The set of all input values for a relation or function. For e…

function

A relation in which for each input value there is one and onl…

Marketing

Distribution

Administration

Production

It is concerned with identifying consumer needs and satisfyin…

Responsible for packaging and sending the finished goods and…

The day-to-day activities of an organization. Dealing with en…

Involves changing natural resources into a product or the sup…

Marketing

It is concerned with identifying consumer needs and satisfyin…

Distribution

Responsible for packaging and sending the finished goods and…

Erythrocyte

Erythropoiesis

Hemolysis

Inflammation

The blood cell that transports oxygen

The manufacturing of a red blood cell... Occurs in red bone marrow

Rupture or bursting of a red blood cell literally, but used t…

-Occurs when there is physical or chemical trauma to tissue o…

Erythrocyte

The blood cell that transports oxygen

Erythropoiesis

The manufacturing of a red blood cell... Occurs in red bone marrow

The figures point to a major demograph…

The signs are that the trend for outso…

It will take you at least 20 minutes t…

The figures reveal a 65% increase in c…

Las cifras apuntan a un cambio demografico significativo

Los indicadores muestran que la tendencia a usar servicios ex…

Te tomara por lo menos 20 minutos el llegar alla

Los nuemeros arrojan un 65%de incremento en la admision de ni…

The figures point to a major demograph…

Las cifras apuntan a un cambio demografico significativo

The signs are that the trend for outso…

Los indicadores muestran que la tendencia a usar servicios ex…

variable

independent variable

dependent variable

ratio

A factor whose quantity can change

The variable that affects the outcome.... In an experiment, it…

The variable that is changed as result of the independent var…

comparison of 2 or more different values

variable

A factor whose quantity can change

independent variable

The variable that affects the outcome.... In an experiment, it…

input

output

horizontal

verticle

The "x" value in a set of data on which a function operates

The "y" value in a set of data, produced by evaluating a func…

Parallel to the X axis.

...

input

The "x" value in a set of data on which a function operates

output

The "y" value in a set of data, produced by evaluating a func…

input

domain

range

output

The "x" value in a set of data on which a function operates

The set of input values of a function.

Diference between the largest and smallest values that occur…

Data that has been processed into a useful format.

input

The "x" value in a set of data on which a function operates

domain

The set of input values of a function.

domain

range

input

output

The set of input values of a function.

Difference between the largest and smallest values that occur…

The "x" value in a set of data on which a function operates

The "y" value in a set of data, produced by evaluating a func…

domain

The set of input values of a function.

range

Difference between the largest and smallest values that occur…

Function

Input

Output

Horizontal

1. A relationship from one set (called the domain) to another…

The "x" value in a set of data on which a function operates

The "y" value in a set of data, produced by evaluating a func…

Parallel to the X axis.

Function

1. A relationship from one set (called the domain) to another…

Input

The "x" value in a set of data on which a function operates

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 tha…

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

solution

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

linear equation

Any equation whose graph is a line.

Domain

input

horizontal

range

The set of input values of a function.

The "x" value in a set of data on which a function operates

Parallel to the X axis.

The set of output values of a function.

Domain

The set of input values of a function.

input

The "x" value in a set of data on which a function operates

The figures point to a mayor demograph…

The signs are that the trend of outsou…

It will take you at least 20 minutes t…

The figures revel a 65% increases in c…

Las cifras apuntan a un cambio demgráfico significativo.

Los indicadores muestran que la tendencia a usar servicios ex…

Te tomará por lo menos 20 minutos el llegara allá.

Los números arrojan un 65% de incremento en la admisión de ni…

The figures point to a mayor demograph…

Las cifras apuntan a un cambio demgráfico significativo.

The signs are that the trend of outsou…

Los indicadores muestran que la tendencia a usar servicios ex…

Domain

Range

Input

Output

The set of input values of a function.

Distance between highest and lowest scores in a set of data.

The "x" value in a set of data on which a function operates

The y value in a set of data, produced by evaluating a functi…

Domain

The set of input values of a function.

Range

Distance between highest and lowest scores in a set of data.

input

domain

range

output

The "x" value in a set of data on which a function operates

the set of input values of a function

The set of output values of a function.

The "y" value in a set of data, produced by evaluating a func…

input

The "x" value in a set of data on which a function operates

domain

the set of input values of a function

Linear function

Exponential function

Quadratic functions

Horizontal Line

f(x)=mx+b... No max or min... Can be a constant horizontal line.... x…

f(x)=a b^x... NO MAX OR MIN... The EXPONENT is the "x"

f(x)= ax^2+bx+c ... The highest exponent is squared.... U-shaped, M…

Is a linear function... f(x)=10 or f(x)=2... y=4 or y=7

Linear function

f(x)=mx+b... No max or min... Can be a constant horizontal line.... x…

Exponential function

f(x)=a b^x... NO MAX OR MIN... The EXPONENT is the "x"

Formed by intersection of two number l…

The horizontal axis on a coordinate pl…

The vertical axis on a coordinate plane

The four regions into which the x- and…

Coordinate plane

x-axis

y-axis

Quadrants

Formed by intersection of two number l…

Coordinate plane

The horizontal axis on a coordinate pl…

x-axis

polynomial

polynomial function

degree

standard form of a polynomial

a monomial or the sum of monomials

a function whose rule is a polynomial

The exponent of the variable in a term

when a polynomial is in descending order according to its exp…

polynomial

a monomial or the sum of monomials

polynomial function

a function whose rule is a polynomial

f^-1

Definition of inverse functions

Steps for finding the inverse of a fun…

Find the inverse of f(x) = x + 7

Notation for the inverse of a function

If f(g(x)) = x and g(f(x)) = x, then f and g are Inverses

1. Replace f(x) with y in the equation for f(x).... 2. Interchan…

f^-1(x) = x - 7

f^-1

Notation for the inverse of a function

Definition of inverse functions

If f(g(x)) = x and g(f(x)) = x, then f and g are Inverses