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Study sets matching "functions algebra chapter 4"

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.
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…
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.
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
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.
14 terms
Algebra 1 Pre-AP Chapter 4: Equations of Linear Functions
slope intercept form
constant function
constraint
linear extrapolation
the equation of a straight line in the form y = mx + b where…
Consistent horizontal, slope = 0 (Horizontal line)
a condition that a solution must satisfy
The use of a linear equation to predict values that are outsi…
slope intercept form
the equation of a straight line in the form y = mx + b where…
constant function
Consistent horizontal, slope = 0 (Horizontal line)
9 terms
Algebra 1 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
15 terms
Algebra 1 Chapter 4 - Linear Functions
x-intercept
y-intercept
rate of change
slope
the x-coordinate of the point where a graph intersects the x-…
the y-coordinate of the point where a graph intersects the y-…
a ratio that compares the amount of change in the dependent v…
a measure of the steepness of a line
x-intercept
the x-coordinate of the point where a graph intersects the x-…
y-intercept
the y-coordinate of the point where a graph intersects the y-…
25 terms
Algebra 2 Chapter 4
axis of symmetry
completing the square
complex conjugates
complex number
a line about which a figure is symmetrical
a process used to make a quadratic expression into a perfect…
two complex numbers of the form a-bi and a+bi
any number that can be written in the form a+bi where a and b…
axis of symmetry
a line about which a figure is symmetrical
completing the square
a process used to make a quadratic expression into a perfect…
9 terms
Algebra Chapter 4 Vocabulary
Linear Function
Non-linear Function
Y-Intercept
X-Intercept
All points form a straight line
All points do not form a straight line
Where the line crosses the y-axis.... X=0 at this point
Where the line crosses the x-axis.... Y=0 at this point
Linear Function
All points form a straight line
Non-linear Function
All points do not form a straight line
20 terms
Algebra 1 - Chapter 4
arithmetic sequence
common difference
continuous graph
dependent variable
a sequence in which the difference between consecutive terms…
the difference between consecutive terms in an arithmetic seq…
a graph that is an unbroken line. [p. 255]
a value that can be changed or is affected by another value.…
arithmetic sequence
a sequence in which the difference between consecutive terms…
common difference
the difference between consecutive terms in an arithmetic seq…
19 terms
Algebra chapter 4
slope intercept form
linear extrapolation
parallel lines
perpendicular lines
An equation of the form y=mx+b where m is the slope and b is…
The use of a linear equation to predict values that are outsi…
Lines in the same plane that do not intersect and either have…
Lines that intersect to form a right angle; the product of th…
slope intercept form
An equation of the form y=mx+b where m is the slope and b is…
linear extrapolation
The use of a linear equation to predict values that are outsi…
55 terms
Algebra 2 Chapter 4: Functions and Limits
Relation
Function
Domain
Range
The any set of ordered pairs of elements
The set of ordered pairs such that such that any domain value…
The set of all first values
The set of all second values
Relation
The any set of ordered pairs of elements
Function
The set of ordered pairs such that such that any domain value…
10 terms
Algebra 1 Honors: Introduction to Chapter 4 Functions QUIZ
Quantity
Input
Output
Relation
Anything that can be measured or counted.
Any value of the independent variable.
Any value of the dependent variable
A set of ordered pairs
Quantity
Anything that can be measured or counted.
Input
Any value of the independent variable.
Chapter 4 - Algebra
Dependent Variable
Nonlinear Function
Relation
Independent Variable
a variable that provides the output value of a funtion
a function whose graph is not a line or part of a line
any set of ordered pairs
a variable that provides the input values of a function
Dependent Variable
a variable that provides the output value of a funtion
Nonlinear Function
a function whose graph is not a line or part of a line
12 terms
Algebra 2-Chapter 4 * Exponential and Logarithmic functions
Exponential Function
Asymptote
Exponential decay function
Exponential growth function
a function of the form f(x) = ab^x, where a and b are real nu…
a line the graph approaches, but never touches
The function y=a(b)^x, where 0<b<1 and a>0
A function of the form y=ab^x, where b is greater than 1 and…
Exponential Function
a function of the form f(x) = ab^x, where a and b are real nu…
Asymptote
a line the graph approaches, but never touches
25 terms
Algebra 2 Chapter 4: Quadratic Functions and Transformation
parabola
vertex form
vertex
axis of symmetry
the graph of a quadratic function
f(x)=a(x-h)2 + k
(h,k)
x=h
parabola
the graph of a quadratic function
vertex form
f(x)=a(x-h)2 + k
17 terms
Algebra Chapter 4
Ordered Pair
Coordinate Grid
X Axis
Y Axis
Coordinate
Graph
Horizontal Axis
Vertical Axis
Ordered Pair
Coordinate
Coordinate Grid
Graph
18 terms
Chapter 4 Algebra 2
SOLUTION
BOUNDRY CURVE
BOUNDRY LINE
BOUNDARY POINT
a number or expression that makes the equation or inequality…
The visual dividing marker of a non-linear graph representing…
The visual dividing symbol in a linear graph representing whe…
The endpoint of a ray or segment on a number line where an in…
SOLUTION
a number or expression that makes the equation or inequality…
BOUNDRY CURVE
The visual dividing marker of a non-linear graph representing…
16 terms
Algebra Chapter 4
Best-fit line
Bivariate data
Correlation coefficient
Inverse function
the line that most clearly approximates the data in a scatter…
data with two variables
a value that shows how close data points are to a line
a function that can generate ordered pairs of the inverse rel…
Best-fit line
the line that most clearly approximates the data in a scatter…
Bivariate data
data with two variables
36 terms
Algebra II Chapter 4
Quadratic Function
Axis of Symmetry
Vertex
Minimum Value (Min)
is a function that can be written in the form y=ax^2 + bx + c…
A vertical line that divides the parabola into two mirror ima…
The point on a parabola where the graph changes direction. Fo…
The y coordinate of the vertex if a>0.
Quadratic Function
is a function that can be written in the form y=ax^2 + bx + c…
Axis of Symmetry
A vertical line that divides the parabola into two mirror ima…
42 terms
Algebra 2 - Chapter 4
axis of symmetry
completing the square
complex conjugates
complex numbers
a line that divides a plane figure or a graph into two congru…
a process used to make a quadratic expression into a perfect…
two complex numbers of the form a+bi and a-bi.
adding real numbers to real multiples of the imaginary unit i.
axis of symmetry
a line that divides a plane figure or a graph into two congru…
completing the square
a process used to make a quadratic expression into a perfect…
21 terms
Algebra 2 - Chapter 4 Terms
quadratic equation
difference of squares
quadratic formula
axis of symmetry of a parabola
ax² + bx + c = 0 and a ≠ 0
a² - b² = (a + b)(a - b)
quadratic equation
ax² + bx + c = 0 and a ≠ 0
difference of squares
a² - b² = (a + b)(a - b)
11 terms
Algebra 2 ~ Chapter 4
axis of symmetry
complex number
discriminant
greatest common factor
a line that divides a plane figure or a graph into two congru…
any numbers with "i" in them. (p. 249)
(p. 242)
(GCF) the largest factor that two or more numbers have in com…
axis of symmetry
a line that divides a plane figure or a graph into two congru…
complex number
any numbers with "i" in them. (p. 249)
9 terms
Algebra Chapter 4 Vocabulary
Linear Function
Non-linear Function
Y-Intercept
X-Intercept
A function whose graph forms a straight line
A function whose graph does not form a straight line
Where the line crosses the y-axis.... X=0 at this point
Where the line crosses the x-axis.... Y=0 at this point
Linear Function
A function whose graph forms a straight line
Non-linear Function
A function whose graph does not form a straight line
20 terms
Algebra 2 Chapter 4
column matrix
vertex matrix
Cramer's Rule
identity matrix
a matrix that has only one column
a matrix used to represent the coordinates of the vertices of…
a method that uses determinants to solve a system of linear e…
a square matrix that, when multiplied by another matrix, equa…
column matrix
a matrix that has only one column
vertex matrix
a matrix used to represent the coordinates of the vertices of…
20 terms
Algebra 1 ~ Chapter 4
arithmetic sequence
common difference
continuous graph
dependent variable
a sequence in which the difference between consecutive terms…
the difference between consecutive terms in an arithmetic seq…
a graph that is an unbroken line. [p. 255]
a value that can be changed or is affected by another value.…
arithmetic sequence
a sequence in which the difference between consecutive terms…
common difference
the difference between consecutive terms in an arithmetic seq…
15 terms
College Algebra Chapter 4
Correlation coefficient
Decreasing linear function
Extrapolation
Horizontal line
a value, r, between -1 and 1 that indicates the degree of lin…
a function with a negative slope: If f (x) = mx + b, then m <…
predicting a value outside the domain and range of the data
a line defined by f (x) = b, where b is a real number. The sl…
Correlation coefficient
a value, r, between -1 and 1 that indicates the degree of lin…
Decreasing linear function
a function with a negative slope: If f (x) = mx + b, then m <…
11 terms
Algebra Chapter 4 - Sequences
sequence
term of a sequence
infinite sequence
finite sequence
pattern involving an ordered arrangement of numbers, geometri…
individual number, figure, or letter in the sequence
continues on forever
terminates (stops)
sequence
pattern involving an ordered arrangement of numbers, geometri…
term of a sequence
individual number, figure, or letter in the sequence
10 terms
Algebra Chapter 4 Vocabulary
best-fit line
correlation coefficient
slope-intercept form
linear extrapolation
line that most closely fits data in a scatter plot
value that shows how close data points are to a line
equation in the form y=mx+b where m is slope and b is the y-i…
use of a linear equation to predict values that are outside t…
best-fit line
line that most closely fits data in a scatter plot
correlation coefficient
value that shows how close data points are to a line
16 terms
Algebra 1 - Chapter 1 - Functions
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…
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)
21 terms
Financial Algebra - Chapter 4
credit
creditor
assets
earning power
when you purchase something and don't pay for it right away
organizations or individuals that extend credit to consumers
everything you own
your ability to earn money now and in the future
credit
when you purchase something and don't pay for it right away
creditor
organizations or individuals that extend credit to consumers
14 terms
Algebra Chapter 4 Systems of Equations
system of linear inequalities
solution of a system of linear inequal…
system of equations
cost
two or more linear inequalities on a graph
any point that is true for BOTH inequalities
two or more linear equations on a graph
the amount of money you spend on something
system of linear inequalities
two or more linear inequalities on a graph
solution of a system of linear inequal…
any point that is true for BOTH inequalities
11 terms
Algebra 2 ~ Chapter 4
axis of symmetry
complex number
discriminant
greatest common factor
a line that divides a plane figure or a graph into two congru…
any numbers with "i" in them. (p. 249)
(p. 242)
(GCF) the largest factor that two or more numbers have in com…
axis of symmetry
a line that divides a plane figure or a graph into two congru…
complex number
any numbers with "i" in them. (p. 249)
13 terms
Algebra Chapter 4
Best Fit Line
Constant Function
Constraint
Identity Function
what is the line through the data points on a scatter graph
a function of the form y = a where a is a real number
a limitation or restriction
f(x)=x
Best Fit Line
what is the line through the data points on a scatter graph
Constant Function
a function of the form y = a where a is a real number
13 terms
Algebra (Chap 4) - Equations of Linear Functions
Slope-Intercept Form
Linear Extrapolation
Point-Slope Form
Parallel Lines
an equation written in the form y=mx+b is in slope-intercept…
The use of a linear equation to predict values that are outsi…
y - y₁=m(x - x₁)
Two lines in the same plane that never intersect. Parallel li…
Slope-Intercept Form
an equation written in the form y=mx+b is in slope-intercept…
Linear Extrapolation
The use of a linear equation to predict values that are outsi…
15 terms
Chapter 4 Advanced Algebra
coefficient matrix
Cramer's Rule
determinant
dilation
matrix used with the coefficients of a system
method of solving systems using determinants
a number associated with a square matrix
a transformation that enlarges or reduces a figure
coefficient matrix
matrix used with the coefficients of a system
Cramer's Rule
method of solving systems using determinants
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)
16 terms
Algebra 1, Chapter 4
Quadrant
Transformation
Translation
4) Vertical stretch or shrink
4 regions of coordinate plane
produces an image by applying a rule to the coordinates of th…
moves every point vertically, horizontally, or both (slide)
moves every point away or toward the x-axis
Quadrant
4 regions of coordinate plane
Transformation
produces an image by applying a rule to the coordinates of th…
15 terms
Chapter 4 Algebra
slope-intercept form
linear extrapolation
parallel lines
perpendicular lines
(pg. 216) an equation of the form y = mx + b, where m is the…
(pg. 228) using a linear equation to make predictions about v…
(pg. 239) lines in the same plane that do not intersect
(pg. 240) lines that intersect at right angles
slope-intercept form
(pg. 216) an equation of the form y = mx + b, where m is the…
linear extrapolation
(pg. 228) using a linear equation to make predictions about v…
16 terms
Algebra Chapter 4 Review
perpendicular lines
slope-intercept form
correlation coefficient
scatterplot
two lines that have slopes that are negative reciprocals of e…
writing an equation in the form y = -3x + 5
the number that describes how closely a best-fit line models…
a graph of data points
perpendicular lines
two lines that have slopes that are negative reciprocals of e…
slope-intercept form
writing an equation in the form y = -3x + 5
16 terms
Algebra 2 - Chapter 4
axis of symmetry
completing the square
complex conjugates
complex numbers
a line that divides a plane figure or a graph into two congru…
a process used to make a quadratic expression into a perfect…
two complex numbers of the form a+bi and a-bi.
adding real numbers to real multiples of the imaginary unit i.
axis of symmetry
a line that divides a plane figure or a graph into two congru…
completing the square
a process used to make a quadratic expression into a perfect…
11 terms
Holt HcDougal Algebra 1: Chapter 4 - Functions
correlation
dependent variable
function notation
independent variable
a measure of the strength and direction of the relationship b…
a variable whose value depends on the value of a variable cal…
if x is the independent variable and y is the dependent varia…
a variable whose value determines the value of a variable cal…
correlation
a measure of the strength and direction of the relationship b…
dependent variable
a variable whose value depends on the value of a variable cal…
12 terms
Algebra 1 - Chapter 4
dependent variable
discrete graph
domain
function
values are possible to change due to other variables
a graph composed of distinct, isolated points.
all possible input values of a function (x values)
a relation where each input has exactly one output
dependent variable
values are possible to change due to other variables
discrete graph
a graph composed of distinct, isolated points.
21 terms
Algebra 2, Chapter 4
Quadratic functions
Standard form
Parabola
Vertex form
is a function where x2 is involved
y = ax2 + bx + c where a is not = 0
the graph of quadratic functions, U shaped graph
form of quadratic function where y = a(x - h)2 + k
Quadratic functions
is a function where x2 is involved
Standard form
y = ax2 + bx + c where a is not = 0
8 terms
Algebra Chapter 3 - Linear Functions
linear regression
line of best fit
linear regression equation
significant digit
models the relationship between two variables in a data set b…
the line that best approximates the linear relationship betwe…
the equation that describes the line of best fit
digits that carry meaning contributing to a number's precision
linear regression
models the relationship between two variables in a data set b…
line of best fit
the line that best approximates the linear relationship betwe…
25 terms
Intermediate Algebra Chapter 4
complement of an event
cross products
dependent events
event
All possible outcomes that are not in the event
In a proportion, a/b = c/d, the products of ad and bc. These…
Two events in which the occurrence of one event affects the p…
Any group of outcomes in a situation involving probability
complement of an event
All possible outcomes that are not in the event
cross products
In a proportion, a/b = c/d, the products of ad and bc. These…
17 terms
Algebra 1 Chapter 4
absolute value function
best-fit line
bivariate data
correlation coefficient
a function written as f(x) = ⌈ x ⌉, in which f(x) ≥ 0 for all…
the line that most closely approximates the data in a scatter…
data with two variables
a value that shows how close data points are to a line
absolute value function
a function written as f(x) = ⌈ x ⌉, in which f(x) ≥ 0 for all…
best-fit line
the line that most closely approximates the data in a scatter…
11 terms
Algebra Chapter 4 Vocab
Coordinate plane
Solution of an equation
Linear equation
Standard form
Two number lines (axis') that form a right angle
An ordered pair that makes an equation true
An equation whose graph is a line
Ax+By=C where (A,B,C are real numbers)
Coordinate plane
Two number lines (axis') that form a right angle
Solution of an equation
An ordered pair that makes an equation true
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