Study sets matching "functions chapter 4"

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Study sets matching "functions chapter 4"

9 terms
Chapter 4 Functions
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)
14 terms
Chapter 4 - Functions
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)
6 terms
Chapter 4 Functions
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
10 terms
Chapter 4 Review: Functions
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)
Grade 8 - Chapter 4 - Functions
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
...
12 terms
Chapter 4 vocabulary, Functions
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…
9 terms
Chapter 4: Introducing Functions
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
Chapter 4 - Polynomial Functions
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.
13 terms
CHapter 4- Relations and Functions
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.
27 terms
Chapter 4 Vocabulary (Functions)
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
Chapter 4 Review: Functions
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)
12 terms
Chapter 4 Graphing Functions
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
14 terms
Chapter 4- Functions
Linear Equation
Relation
Domain
Range
an equation with a graph that is a straight line
any set of ordered pairs
the set of x-coordinates (input)
the set of y-coordinates (output)
Linear Equation
an equation with a graph that is a straight line
Relation
any set of ordered pairs
23 terms
Functions- Chapter 4 and 5 Terminology
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…
14 terms
Pre Algebra Chapter 4 Functions
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…
Chapter 4 Polynomial and Rational Functions
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…
13 terms
Chapter 4 Functions
Relation
Domain
Range
Function
A set of ordered pairs
The set of x-coordinates
The set of y-coordinates
A relation in which every member of the domain(input value) i…
Relation
A set of ordered pairs
Domain
The set of x-coordinates
Chapter 4: Introducing Functions
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
7 terms
Chapter 4 Linear Functions
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…
28 terms
Chapter 4: Trigonometric Functions
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°
18 terms
Chapter 4 Tissue Functions
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
Chapter 4: Microscope Functions
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…
76 terms
Chapter 4: Functions of the Organelles
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…
22 terms
Chapter 4 Trigonometric Functions
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…
24 terms
chapter 4 Linear functions
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…
Functions Chapter 4
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…
ALGEBRA: CHAPTER 4 - AN INTRODUCTION TO FUNCTIONS
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.
18 terms
Chapter 4: Graphing Linear Equations and Functions
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.
21 terms
Chapter 4 functions
Cell Wall
Cell Membrane
Cytoplasm
Nucleus
-Protection of cell
-Protection of cell contents
-Holds organelles in place
-Holds cells DNA
Cell Wall
-Protection of cell
Cell Membrane
-Protection of cell contents
23 terms
Chapter 4 review functions
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…
11 terms
Vocabulary-Chapter 4 Relations and Functions
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…
6 terms
Chapter 4- Functions
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
12 terms
Honors Algebra II - Chapter 4 - Quadratic Functions
Axis of Symmetry
Vertex
Parabola
If a parabola opens up, a ____________…
minimum
Axis of Symmetry
Vertex
Chapter 4 Functions
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…
Math chapter 4 functions vocabulary.
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.
Chapter 4 functions
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…
42 terms
Chapter 4 functions
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…
chapter 4 functions
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…
5 terms
Chapter 4 Functions
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…
Chapter 4 - Functions
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)
19 terms
Functions :chapter 4
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
15 terms
Chapter 4- functions
X
Y
DRY
MIX
Input, domain, independent
Output, range, dependent
Dependent, responding, Y axis
Manipulated, independent, X axis
X
Input, domain, independent
Y
Output, range, dependent
24 terms
Functions Chapter 4 Vocabulary
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…
59 terms
chapter 4- functions
anybase^0
anybase^1
1^anypower
2^2
1
itself
1
4
anybase^0
1
anybase^1
itself
14 terms
Chapter 4 (Trigonometric Functions)
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]
Cource 3 chapter 4 Vocabullary; functions
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…
13 terms
Chapter 4 Functions
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…
19 terms
Chapter 4 Applying Linear Functions Vocabulary
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…
8 terms
Chapter 4-Functions Vocabulary
relation
function
domain
range
a set of ordered pairs or points
a set of points where every x is paired with a y
the set of x values
the set of y values
relation
a set of ordered pairs or points
function
a set of points where every x is paired with a y
14 terms
Chapter 4- Functions Vocabulary
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…
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