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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)
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)
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
17 terms
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.
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…
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
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)
37 terms
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…
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
20 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…
59 terms
chapter 4- functions
anybase^0
anybase^1
1^anypower
2^2
1
itself
1
4
anybase^0
1
anybase^1
itself
6 terms
Chapter 4 Linear Functions
Slope of a line
Standard form of a line
Slope-intercept form of a line
Point/Slope form of a line
(y₂ - y₁) / (x₂ - x₁)
Ax + By = C
y = mx + b
(y - y₁) = m ( x - x₁)
Slope of a line
(y₂ - y₁) / (x₂ - x₁)
Standard form of a line
Ax + By = C
12 terms
Biology Chapter 4 Functions
Smooth ER
Rough ER
Mitochondria
Cytoskeleton
Lipid Synthesis; detoxification of liver cells; calcium ion s…
Synthesis of membrane lipids and proteins, secretory proteins…
Conversion of chemical energy of food to ATP
Maintains cell shape; is an anchorage for organelles; helps w…
Smooth ER
Lipid Synthesis; detoxification of liver cells; calcium ion s…
Rough ER
Synthesis of membrane lipids and proteins, secretory proteins…
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
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.
9 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…
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
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
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.
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
13 terms
Chapter 4 Cell Function
cytoplasm
mitochondria
nucleus
ribosomes
watery or jelly-like substance
"powerhouse" of the cell; makes energy
control center; the "brain" of the cell
protein-making sites; found on the ER of floating in the cyto…
cytoplasm
watery or jelly-like substance
mitochondria
"powerhouse" of the cell; makes energy
20 terms
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 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
17 terms
Functional Groups - Chapter 4
alcohol
aldehyde
alkane
alkyne
alcohol
aldehyde
14 terms
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…
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…
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…
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…
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
10 terms
Chapter 4: Gene Functions
How do spontaneous mutations arise?
Beadle and Tatum (1942)
What are the categories of conditional…
Heat-sensitive vs. Cold-sensitive
Many kinds of random events (hydrolysis, radiation, UV light,…
One gene, one enzyme hypothesis... - Devised a method to isolate…
1) Auxotrophic (new nutritional requirement for growth relati…
Heat-sensitive: high temp non-permissive... Cold-sensitive: low…
How do spontaneous mutations arise?
Many kinds of random events (hydrolysis, radiation, UV light,…
Beadle and Tatum (1942)
One gene, one enzyme hypothesis... - Devised a method to isolate…
20 terms
Chapter 4 - Introduction to Functions
arithmetic sequence
common difference
continuous graph
dependent variable
A number sequence formed by adding a fixed number to each pre…
The difference between consecutive terms in an arithmetic seq…
A graph that is unbroken.
A variable that provides the output values of a function.
arithmetic sequence
A number sequence formed by adding a fixed number to each pre…
common difference
The difference between consecutive terms in an arithmetic seq…
23 terms
Chapter 4: Graphing Linear Equations and Functions
Relation
Function
Coordinate
Coordinate Plane
a set of ordered pairs
a relation in which every x-value is paired with EXACTLY one…
a location on coordinate plane
a two-dimensional grid that is separated into four quadrants
Relation
a set of ordered pairs
Function
a relation in which every x-value is paired with EXACTLY one…
7 terms
Chapter 4 - Biochemical Functional Groups
Hydroxyl
Carbonyl
Carboxyl
Amino
Hydroxyl
Carbonyl
20 terms
Functional Groups (from Campbell Biology Chapter 4)
organic chemistry
tetravalent
hydrocarbon
isomer
The study of carbon & hydrogen compounds (organic compounds).
4 electrons in valence shell, Ex. carbon
An organic molecule consisting only of carbon and hydrogen.
One of several compounds with the same molecular formula but…
organic chemistry
The study of carbon & hydrogen compounds (organic compounds).
tetravalent
4 electrons in valence shell, Ex. carbon
11 terms
Chapter 4 Excel Financial Functions
Amortization table
Cell protection
unprotected
hiding
shows the beginning and ending balances of a loan, and the am…
ensures that users do not change values inadvertently that ar…
Allows the value in cells to be changed at any time.
portions of a workbook lets you show only the parts of the wo…
Amortization table
shows the beginning and ending balances of a loan, and the am…
Cell protection
ensures that users do not change values inadvertently that ar…
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]
11 terms
Chapter 4 Functions
Continuous Data
Dependent Variable
Discrete Data
Family of functions
a graph of continuous data represented by solid lines
the output variable of a funtion
a graph of data presented by points such as a scatter plot
a set of funtions that are related in some way
Continuous Data
a graph of continuous data represented by solid lines
Dependent Variable
the output variable of a funtion
10 terms
Chapter 4: Quadratic Functions and Relations
Quadratic Equation
Parabola
Axis of Symmentry
Vertex
An equation where the greatest exponent is 2.
The graph of a quadratic function.
The line that divides a parabola into two equal halves.
The intersection between the axis of symmetry and the parabol…
Quadratic Equation
An equation where the greatest exponent is 2.
Parabola
The graph of a quadratic function.
14 terms
Chapter 4: 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 of the independent va…
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 of the independent va…
14 terms
.Chapter 4: Functions
Continous 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.
Continous 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…
14 terms
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…
14 terms
Chapter 4 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 a space between possible data values. Graphs are re…
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…
14 terms
Chapter 4: Functions
Continous Data
Dependant Variable
Discrete Data
Domain
Data that can take on any value. No space between data lines…
The variable that relies on the independent variable.
Data with space between possible data values. Graphs are rep.…
The set of x coordinates in a relation.
Continous Data
Data that can take on any value. No space between data lines…
Dependant Variable
The variable that relies on the independent variable.
Chapter 4 Functions
Continuous Data
Dependent Variable
Discrete Data
Domain
Data that can take any value. There is no space between data…
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 any value. There is no space between data…
Dependent Variable
The variable in a relation with a value that depends on the v…
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…
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