#### Study sets matching "functions chapter 4"

#### 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 repres…

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

linear function

dependent variable

independent variable

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

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

a variable that changes in response to another variable

(statistics) a variable whose values are independent of chang…

function

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

linear function

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

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 repres…

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

Input

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

Output

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

linear equation

relation

domain

range

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

...

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.... O…

relation

...

dependent variable

discrete data

family of functions

function

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

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

A set of functions related in some way.

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

dependent variable

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

discrete data

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

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 locati…

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 polyn…

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.

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

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 repres…

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

Input

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

Output

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

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 th…

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

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

Arc

A portion of the circumference of a circle.

Sector

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

continuous data

dependent variable

discrete data

domain

there is no space between data values for a given domain

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

data with space between possible data values

the set of x coordinates in a relation

continuous data

there is no space between data values for a given domain

dependent variable

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

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 f…

a variable in the complex number system

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

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 f…

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 locati…

coordinate plane

plane with two perpendicular number lines

coordinate axes

perpendicular number lines

increasing function

constant function

decreasing function

interval of increase

In fact lines are either increasing, decreasing, or constant.…

In mathematics, a constant function is a function whose (outp…

Another way of saying that a graph is going up is that its sl…

If f′(x) > 0, then f is increasing on the interval, and if f′…

increasing function

In fact lines are either increasing, decreasing, or constant.…

constant function

In mathematics, a constant function is a function whose (outp…

Standard Position (Terminal and Initia…

Supplementary

Complementary

Coterminal Angle

An angle is in standard position if its vertex is located at…

Adds to 180°

Adds to 90°

Coterminal angles are angles in standard position (angles wit…

Standard Position (Terminal and Initia…

An angle is in standard position if its vertex is located at…

Supplementary

Adds to 180°

allows diffusion (absorption and secre…

secretion and absorption

secretion and absorption... cilia help m…

physical protection against abrasion,…

simple squamous epithelium

simple cuboidal epithelium

simple columnar epithelium

stratified squamous epithelium

allows diffusion (absorption and secre…

simple squamous epithelium

secretion and absorption

simple cuboidal epithelium

Light Microscope (LM)

Electron Microscope (EM)

Scanning Electron Microscope (SEM)

Transmission Electron Microscope (TEM)

1. first microscopes... 2. magnify image... 3. can effectively magn…

1. focuses a beam of electrons through a specimen or onto its…

1. used to study detailed architecture of cell surfaces... 2. us…

1. used to study the details of internal cell structure... 2. us…

Light Microscope (LM)

1. first microscopes... 2. magnify image... 3. can effectively magn…

Electron Microscope (EM)

1. focuses a beam of electrons through a specimen or onto its…

Cell Membrane

Cytoplasm

Rough Endoplasmic Reticulum

Nucleus

Controls the movement into and out of the cell

Watery Material which contains many of the materials involved…

ROUGH = has ribosomes attached... SMOOTH = synthesizes lipids... S…

Serves as the control center for cell metabolism and reproduc…

Cell Membrane

Controls the movement into and out of the cell

Cytoplasm

Watery Material which contains many of the materials involved…

trigonometric functions

sine

cosine

tangent

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

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

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

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

trigonometric functions

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

sine

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

coefficient

coordinate plane

transformation

perpendicular

a number that is multiplied by a variable

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

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 lin…

Continuous Data

Dependent variable

Discrete data

Domain

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

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

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

The set of x-coordinates in a relation.

Continuous Data

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

Dependent variable

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

Dependent variable

Independent variable

Input

Output

A variable that provides the output values of a function.

A variable that provides the input values of a function.

A value of the independent variable.

A value of the dependent variable.

Dependent variable

A variable that provides the output values of a function.

Independent variable

A variable that provides the input values of a function.

quadrants

coordinate plane

ordered pair

standard form of a linear equation

The four parts of a coordinate plane. It uses I, II, III and…

The plane containing the "x" axis and "y" axis.

The "x' and "y" together in parentheses (5, 7). x is 5, and y…

"= 0" is on the right, and everything else is on the left. Ex…

quadrants

The four parts of a coordinate plane. It uses I, II, III and…

coordinate plane

The plane containing the "x" axis and "y" axis.

Cell membrane

Cell wall

Cytoplasm

Ribosome

Thin, protective boundary that regulates the substances that…

Outer boundary that protects and provides rigid structures to…

Clear, jelly-like substance that holds the organelles in the…

Site of protein synthesis

Cell membrane

Thin, protective boundary that regulates the substances that…

Cell wall

Outer boundary that protects and provides rigid structures to…

Relation

Function

Domain

Range

A set of ordered pairs

A relation that assigns exactly one value in the range to eac…

The "x" or input values

The "y" or output values

Relation

A set of ordered pairs

Function

A relation that assigns exactly one value in the range to eac…

Vertical line test

Horizontal line test

Even function

odd function

If it touches only one point, it's a function

If it touches only one point, it has an inverse

symmetry in y axis

symmetry around the origin

Vertical line test

If it touches only one point, it's a function

Horizontal line test

If it touches only one point, it has an inverse

algorithm

argument

body

composition

a general process for solving a category of problems

a value provided to a function when the function is called. T…

the sequence of statements inside a function definition. E.g.…

using an expression as part of a larger expression, or a stat…

algorithm

a general process for solving a category of problems

argument

a value provided to a function when the function is called. T…

Continuous data.

Dependent variable.

Discrete data.

Domain.

Continuous range

whose value depends on that of another.

information that can be categorized into a classification.

The set of values of the independent variable(s)

Continuous data.

Continuous range

Dependent variable.

whose value depends on that of another.

Continuous data

Dependant variable

Discrete data

Domain

Data that can take any value there is no place between values…

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

Data with space between possible data values

The set of X cordinates in a relation

Continuous data

Data that can take any value there is no place between values…

Dependant variable

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

Arithmetic Sequence

Common Difference

Continuous Graph

Correlation

A sequence whose successive terms differ by the same nonzero…

In an arithmetic sequence, the nonzero constant difference of…

A graph made up of connected lines or curves

A measure of the strength and direction of the relationship b…

Arithmetic Sequence

A sequence whose successive terms differ by the same nonzero…

Common Difference

In an arithmetic sequence, the nonzero constant difference of…

continuous data

dependent variable

discrete data

domain

Continuous data is information that can be measured on a cont…

A dependent variable is what you measure in the experiment an…

Discrete data is information that can be categorized into a c…

The domain of a function is the complete set of possible valu…

continuous data

Continuous data is information that can be measured on a cont…

dependent variable

A dependent variable is what you measure in the experiment an…

Physical protection

Epithelial controls permeability examp…

Epithelial provide sensation

Epithelial Cells that produce secretio…

protect exposed and internal surfaces from abrasion, dehydrat…

any substance has to cross epithelial tissue. relatively impe…

sensory nerves extensively innervate most epithelia specializ…

GLANDS cells that are scattered among other types in epitheli…

Physical protection

protect exposed and internal surfaces from abrasion, dehydrat…

Epithelial controls permeability examp…

any substance has to cross epithelial tissue. relatively impe…

continuous data

dependent variable

discrete data

domain

any value so no space between data values for domain (lines)

depends on something (range)

have spaces between possible data values (dots)

the set of x-coordinate (input)

continuous data

any value so no space between data values for domain (lines)

dependent variable

depends on something (range)

Stomach

Lungs

Small intestine

Skeleton

Digest or break down food into smaller pieces and hold food f…

Take carbon dioxide out of the blood and puts oxygen into blood

20 feet long and digests food as it pushes the food to the la…

Gives body shape and protects organs

Stomach

Digest or break down food into smaller pieces and hold food f…

Lungs

Take carbon dioxide out of the blood and puts oxygen into blood

Acute Angle

Amplitude

Bearing

Complimentary Angle

measures less than 90 degrees

vertical span from the middle of the graph to its highest or…

angles described by the four cardinal directions

two acute angles that add up to 90 degrees

Acute Angle

measures less than 90 degrees

Amplitude

vertical span from the middle of the graph to its highest or…

domain and range of f(x) = sin(x)

domain and range of f(x) = cos(x)

endpoints of sin(x) and cos(x)

domain and range of f(x) = tan(x)

D(f): all real numbers... R(f): [-1, 1]

D(f): all real numbers... R(f): [-1, 1]

bx - c = 0... bx - c = 2pi

D(f): all real numbers except pi/2 + (n)pi... R(f): all real num…

domain and range of f(x) = sin(x)

D(f): all real numbers... R(f): [-1, 1]

domain and range of f(x) = cos(x)

D(f): all real numbers... R(f): [-1, 1]

Continuous data

Dependent Variable

Discrete data

Domain

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

The Variable in a relation with a value that depends on the v…

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

The set of x-coordinates in a relation

Continuous data

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

Dependent Variable

The Variable in a relation with a value that depends on the v…

Define function

Domain and range

What is a linear function?

To graph a function rule...

A function is a relationship between the input and output val…

The domain and range are just another way to say the X or Y c…

A linear function is a function whose graph is a non-vertical…

1. Set up a function table... 2. Pick four values for the x (use…

Define function

A function is a relationship between the input and output val…

Domain and range

The domain and range are just another way to say the X or Y c…

Direct Variation

Proportion

Proportionality Constant

Inverse Variation

a relationship between two variables such that the ratio of t…

a characteristic of some functions in which... the ratio of thei…

a ratio of dependent to... independent values determined from an…

- exists when two variables are related in such a way that th…

Direct Variation

a relationship between two variables such that the ratio of t…

Proportion

a characteristic of some functions in which... the ratio of thei…

Continuous Data

Dependent Variable

Discrete Date

Domain

Can take any value including fractions and decimals, so there…

The variable that is affected when the independent variable c…

Can have space between possible data values. You can't have a…

The set of x-coordinates

Continuous Data

Can take any value including fractions and decimals, so there…

Dependent Variable

The variable that is affected when the independent variable c…