Study sets matching "algebra functions chapter 2"

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Study sets matching "algebra functions chapter 2"

19 terms
Algebra II Chapter 2 Linear Relations and Functions Vocabulary
one-to-one function
onto function
discrete relation
continuous relation
A function where each element of the range is paired with exa…
Each element of the range corresponds to an element of the do…
A relation in which the domain is a set of individual points.
A relation that can be graphed with a line or smooth curve.
one-to-one function
A function where each element of the range is paired with exa…
onto function
Each element of the range corresponds to an element of the do…
19 terms
Algebra 2 Chapter 2 Linear Equations and Functions
Ways a Relation Can be Represented
Vertical Line Test
Graphing Equations in Two Variables
Discrete and Continuous Functions
Ordered Pairs... Table... Graph ... Mapping Diagram
A relation is a function iff no vertical line intersects the…
1. Construct a table of values... 2. Plot enough points from the…
Discrete func.- consists of separate points ... Continuous func.…
Ways a Relation Can be Represented
Ordered Pairs... Table... Graph ... Mapping Diagram
Vertical Line Test
A relation is a function iff no vertical line intersects the…
15 terms
Relations and Functions (Chapter 2) (Algebra II)
Domain
Range
Relations
Functions
the first values in an ordered pair
the second values in an ordered pair
sets of ordered pairs
each element in the domain is paired with exactly one element…
Domain
the first values in an ordered pair
Range
the second values in an ordered pair
14 terms
College Algebra Chapter 2: Polynomial and Rational Functions
standard form
general form
vertex
intermediate value theorem
f(x) = a(x-h)^2+k
f(x) = ax^2+bx+c
(-b/2a,f(-b/2a))
let a and b be real numbers such that a<b. If f is a polynomi…
standard form
f(x) = a(x-h)^2+k
general form
f(x) = ax^2+bx+c
11 terms
Algebra 2 ~ Quadratic Functions
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)
Chapter 2 Vocabulary: Quadratic Functions Algebra 2
absolute value of a complex number
axis of symmetry
binomial
completing the square
the absolute value of a + bi is the distance from the... origin…
a line that divides a plane figure or a graph into two congru…
a polynomial with two terms
adding a term to form a perfect square trinomial
absolute value of a complex number
the absolute value of a + bi is the distance from the... origin…
axis of symmetry
a line that divides a plane figure or a graph into two congru…
Algebra 2-Chapter 2 * Introduction to Functions
Relative Maximum
Relative Minimum
Turning Points
Polynomial Function
The highest point of a graph within the boundaries of a certa…
The lowest point of a graph within the boundaries of a certai…
The relative maxima and relative minima of a function.
A function that can be written... in the form f(x) = a n x n + a…
Relative Maximum
The highest point of a graph within the boundaries of a certa…
Relative Minimum
The lowest point of a graph within the boundaries of a certai…
17 terms
ALGEBRA II, Chapter 2: Linear Functions
identity
contradiction
negative
percent/100
x can be any number (ex: 0=0)
no solution, empty set (ex: 0=30)
Flip the inequality when dividing by a ___ number.
part/whole =
identity
x can be any number (ex: 0=0)
contradiction
no solution, empty set (ex: 0=30)
Algebra II chapter 2 Linear Functions
Horizontal Shift |h|
Vertical Shift |k|
Reflection across the y-axis
Reflection across the x-axis
f(X) = f(X-h)
f(X) = f(X) + k
f(X) = f(-X)
f(X) = -f(X)
Horizontal Shift |h|
f(X) = f(X-h)
Vertical Shift |k|
f(X) = f(X) + k
Intro Algebra I: Chapter 2 Functions
linear function
quadratic function
square root function
cubic function
y=x (slanted line)
y=x2 (parabola)
y=√x (hook)
y=x3 (spongebob arms)
linear function
y=x (slanted line)
quadratic function
y=x2 (parabola)
21 terms
Chapter 2 Algebra 2
COMPRESS
DILATION
DOMAIN
EVEN FUNCTION
A term used informally to describe the relationship of a grap…
A transformation which vertically compresses or stretches the…
The set of all input values for a relation or function.
A function where f(−x) = f(x) for all values of x defined for…
COMPRESS
A term used informally to describe the relationship of a grap…
DILATION
A transformation which vertically compresses or stretches the…
26 terms
Algebra II: Linear Functions (Chapter 2)
equation
solution set of an equation
linear equation in one variable
Addition
A mathematical sentence that contains an equals sign.
Value or values of the variable that make an equation true.
Can be written in the form of ax=b.
An operation in which we combine two numbers to make a larger…
equation
A mathematical sentence that contains an equals sign.
solution set of an equation
Value or values of the variable that make an equation true.
Algebra 2 Chapter 2: Linear Equations and Functions
Relation
Domain
Range
Function
A mapping, or pairing, of input values with output values
The set up input values in a relation
The set of output values in a relation
A relation for which each input has one output
Relation
A mapping, or pairing, of input values with output values
Domain
The set up input values in a relation
Algebra 2-Chapter 2 * Analyzing Graphical Functions
Range
Domain
What are the zeros of a function?
How do you find the zeros of a function?
What is the highest and lowest points that the graph hits ver…
What are the furthest points from left to right?
The x-values for which ƒ(x)=0... [i.e.] x-values that make the f…
set the function equal to zero and solve for the independent…
Range
What is the highest and lowest points that the graph hits ver…
Domain
What are the furthest points from left to right?
Functions, Equations, and Graphs; Algebra 2 Chapter 2
Relation
Ways to show a relation
Domain
range
a set of input and output values
Ordered Pair, Table, Mapping Diagram, Graph
set of input values, or x
set of output values, or y
Relation
a set of input and output values
Ways to show a relation
Ordered Pair, Table, Mapping Diagram, Graph
24 terms
Algebra Unit 2: Representations of Functions
input
output
mapping
relation
The values of the independent variable (x) in a function.
The values of the dependent variable (aka y or f(x)) in a fun…
A visual representation of a relation in which the inputs are…
Information that can be represented by a set of ordered pairs…
input
The values of the independent variable (x) in a function.
output
The values of the dependent variable (aka y or f(x)) in a fun…
11 terms
Algebra 2 - Family of Functions
Domain of a Function
Range of a Function
Interval Notation
Set Notation
The set of all possible input values for the function
The set of all possible output values of a function
a way of writing the set of all real numbers between two endp…
A notation for a set that uses a rule to describe the propert…
Domain of a Function
The set of all possible input values for the function
Range of a Function
The set of all possible output values of a function
8 terms
Algebra 2 ~ Chapter 2
correlation
direct variation
domain
function
a measure of the relationship between two variables. (p. 92)
an equation of the form y=kx, where k does not equal 0. (p. 68)
the input set of a function. (p. 61)
an equation that, when given an input, gives a specific outpu…
correlation
a measure of the relationship between two variables. (p. 92)
direct variation
an equation of the form y=kx, where k does not equal 0. (p. 68)
15 terms
Algebra 2 - Chapter 2
absolute value function
axis of symmetry
direct variation
domain
a V-shaped function written in the form of y = |x|.
a line that divides a graph into two congruent reflected halv…
a linear function defined by an equation of the form y=kx, wh…
all possible x-coordinate values.
absolute value function
a V-shaped function written in the form of y = |x|.
axis of symmetry
a line that divides a graph into two congruent reflected halv…
12 terms
Algebra 1 - Chapter 2
conversion factor
cross products
formula
inverse operations
a ratio of equivalent measurements used to convert a quantity…
the product of numbers on the diagonal when comparing two rat…
a mathematical relationship or rule expressed in symbols. [p.…
two of the order of operations that undo each other. [p. 88]
conversion factor
a ratio of equivalent measurements used to convert a quantity…
cross products
the product of numbers on the diagonal when comparing two rat…
Pre-Algebra Chapter 2 Graphs and Functions
coordinate plane
function
input
ordered pair
a plane formed by the intersection of a horizontal number lin…
an input-output relationship that has exactly one output for…
the value substituted into an expression or function
a pair of numbers that can be used to locate a point on a coo…
coordinate plane
a plane formed by the intersection of a horizontal number lin…
function
an input-output relationship that has exactly one output for…
18 terms
Algebra Chapter 2 Vocabulary
Consecutive Integers
Dimensional Analysis
Equivalent Equations
Extremes
Integers in counting order
The process of carrying units throughout a computation
Equations that have the same solution
The outer terms of the proportion
Consecutive Integers
Integers in counting order
Dimensional Analysis
The process of carrying units throughout a computation
20 terms
Algebra 2 Chapter 2
absolute value function
boundary
constant function
dependent variable
a function where f(x) ≥ 0 for all values of x
a line or curve that separates the coordinate plane into two…
a linear function of the from f(x) = b
the variable whose values depend on the values of the indepen…
absolute value function
a function where f(x) ≥ 0 for all values of x
boundary
a line or curve that separates the coordinate plane into two…
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…
23 terms
Algebra 2 Trigonometry, Chapter 2, Functions
inverse variation
direct variation
direct variation formula
domain
this is when two variables change in an opposite manner, so w…
this is when a variable, for example y, varies directly with…
y=kx
this is the set of x coordinates. it is presented like this:…
inverse variation
this is when two variables change in an opposite manner, so w…
direct variation
this is when a variable, for example y, varies directly with…
Algebra 2 - Parent Functions
Constant Function f(x) = c
Linear Function f(x) = x
Absolute Value Function f(x) = |x|
Quadratic Function f(x) = x²
Constant Function f(x) = c
Linear Function f(x) = x
Parent Functions Algebra 2
Absolute Value
Constant
Cube Root
Cubic
f(x) = I x I... Domain: (-∞,∞)... Range: [0,∞)... Zeros: (0,0)... y-inter…
f(x) = c... Domain: (-∞,∞)... Range: [c]... Zeros: none... y-intercept: (…
f(x) = ^3√x... Domain: (-∞,∞)... Range: (-∞,∞)... Zeros: (0,0)... y-inter…
f(x) = x^3... Domain: (-∞,∞)... Range: (-∞,∞)... Zeros: (0,0)... y-interc…
Absolute Value
f(x) = I x I... Domain: (-∞,∞)... Range: [0,∞)... Zeros: (0,0)... y-inter…
Constant
f(x) = c... Domain: (-∞,∞)... Range: [c]... Zeros: none... y-intercept: (…
17 terms
Function Families, Algebra chapter 2 vocab
Linear
Quadratic
Exponential
Absolute Value
f(x) = -7x + 3
f(x) = 5(2)^x
f(x) = 3 |x+2| -5
Linear
f(x) = -7x + 3
Quadratic
27 terms
ALGEBRA: CHAPTER 2 - SOLVING EQUATIONS
Equivalent equations
Addition property of equality
Subtraction property of equality
Isolate
Equations that have the same solution.
Adding the same number to each side of an equation produces a…
Subtracting the same number from each side of an equation pro…
Using properties of equality and inverse operations to get a…
Equivalent equations
Equations that have the same solution.
Addition property of equality
Adding the same number to each side of an equation produces a…
Chapter 2 Algebra Review
x = 12/5
x = 2.1
x = -10
x = 38.1
The sum of five times a number x and three is the same as fif…
Solve for x. ... 3.8 = x+1.7
Solve for x. ... 2/5x = -4
Solve for x... x/3 - 9.2 = 3.5
x = 12/5
The sum of five times a number x and three is the same as fif…
x = 2.1
Solve for x. ... 3.8 = x+1.7
Chapter 2 - Algebra
conversion factor
cross products
equivalent equations
inverse operations
a ratio of two equivalent measures in different units
the product of the diagonal when comparing two ratios
equations that have the same solution
operations that undo each other
conversion factor
a ratio of two equivalent measures in different units
cross products
the product of the diagonal when comparing two ratios
Algebra Chapter 2
Formula
Equivalent Equations
Equation
Addition Property of Equality
A rule for the relationship between certain quantities.
Have the same solution.
A mathematical sentence that contains an equal sign.
For any real numbers a, b, and c, if a=b, then a+c=b+c
Formula
A rule for the relationship between certain quantities.
Equivalent Equations
Have the same solution.
20 terms
Algebra 2 - Functions
Function
Domain
Range
Parent Function
A relation in which every input corresponds to exactly one ou…
The set of input values in a relation.
The set of output values in a relation.
The simplest function in a family of functions.
Function
A relation in which every input corresponds to exactly one ou…
Domain
The set of input values in a relation.
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…
Algebra Chapter 2
Order of Operation ( PEMDAS )
Variable
Terms
Coefficient
Rule that tells you what to do first
a letter that represents a number
parts of an expression separated by a+ or - sign
a number that multiples a variable
Order of Operation ( PEMDAS )
Rule that tells you what to do first
Variable
a letter that represents a number
25 terms
Algebra II Chapter 2: Linear Equations and Functions
Relation
Domain
Range
Function
A mapping, or pairing, of input values with output values
The set of input values in a relation
The set of output values in a relation
A relation for which each input has exactly one output
Relation
A mapping, or pairing, of input values with output values
Domain
The set of input values in a relation
24 terms
Parent Functions (Algebra 2)
Linear
Absolute Value
Quadratic
Cubic
Linear
Absolute Value
Algebra 1 - Chapter 2
1 step Equation
2 step Equation
Multi - Step Equation
Identity
get the variable by itself by undoing the problem... - addition…
get the variable by itself by undoing the problem, reverse th…
get the variable by itself by undoing the problem, reverse th…
both sides of equal sign are same
1 step Equation
get the variable by itself by undoing the problem... - addition…
2 step Equation
get the variable by itself by undoing the problem, reverse th…
15 terms
Algebra 2 - Chapter 2
absolute value function
axis of symmetry
direct variation
domain
a V-shaped function written in the form of y = |x|.
a line that divides a graph into two congruent reflected halv…
a linear function defined by an equation of the form y=kx, wh…
all possible x-coordinate values.
absolute value function
a V-shaped function written in the form of y = |x|.
axis of symmetry
a line that divides a graph into two congruent reflected halv…
15 terms
Algebra 2 - Chapter 1 - Investigations and Functions
asymptote
dependent variable
domain
equation
A line that a graph of a curve approaches but does not touch…
Appears as the output value in an x → y table, and is usually…
The set of all input values for a relation or function.
A mathematical sentence in which two expressions appear on ei…
asymptote
A line that a graph of a curve approaches but does not touch…
dependent variable
Appears as the output value in an x → y table, and is usually…
6 terms
Rational Functions - Algebra 2
Asymptote
Rational Function
Hole (on a graph)
Continuity
A line that a graph approaches but does not reach. It may be…
A function whose rule is given by a fraction whose numerator…
A hole in a graph - it is a discontinuity that can be "repair…
A connected graph or a constant set of numbers (without skipp…
Asymptote
A line that a graph approaches but does not reach. It may be…
Rational Function
A function whose rule is given by a fraction whose numerator…
29 terms
ALGEBRA: CHAPTER 5 - LINEAR FUNCTIONS
Rate of change
Slope
Direct variation
Constant of variation for a direct var…
The relationship between two quantities that are changing. Th…
The ratio of the vertical change to the horizontal change.... sl…
A linear function defined by an equation of the form... y = kx,…
The nonzero constant k in the function y = kx.
Rate of change
The relationship between two quantities that are changing. Th…
Slope
The ratio of the vertical change to the horizontal change.... sl…
Algebra Chapter 2 Vocabulary
Order of Operations
Variable
Terms
Constants
Rules that tell you which operations to do first
A letter that represents a number
Parts of an expression separated by a + or - sign
Numbers, or quantities, that do not change
Order of Operations
Rules that tell you which operations to do first
Variable
A letter that represents a number
22 terms
Algebra 1 Chapter 2
Dimensional analysis
Equivalent equations
Extremes
Formula
The process of carrying units throughout a computation.
Equations that have the same solution.
In the ratio a/b = c/d , a and d are the extremes.
An equation that states a rule for the relationship between c…
Dimensional analysis
The process of carrying units throughout a computation.
Equivalent equations
Equations that have the same solution.
33 terms
Algebra II Chapter 2
relation
domain
range
mapping diagram
a set of pairs of input and output values
the set of all inputs, or x-coordinates of the ordered pairs
the set of all outputs, or y-coordinates of the ordered pairs
a way to show a relation by linking elements of the domain wi…
relation
a set of pairs of input and output values
domain
the set of all inputs, or x-coordinates of the ordered pairs
10 terms
Algebra: Chapter 2
Order of Operations
variable
terms
constants
rules that tell which operation to do first
a letter that represents a number
parts of an expression separated by a + or a - sign
numbers, or qualities, that do not change
Order of Operations
rules that tell which operation to do first
variable
a letter that represents a number
25 terms
Algebra 1 Chapter 2
Consecutive Integers
Dimensional Analysis
Equivalent Equations
Extremes
integers in counting order, such as 4, 5, 6 or n, n+1, and n+2.
changing from one unit to another via conversion factors... aka…
equations that have the same solution
In a proportion, the numerator of the first fraction and the…
Consecutive Integers
integers in counting order, such as 4, 5, 6 or n, n+1, and n+2.
Dimensional Analysis
changing from one unit to another via conversion factors... aka…
Algebra 2-Chapter 2 * Combinations of Functions and Inverse Functions
(ƒ + g) (x)
(ƒ - g)(x)
(ƒ · g)(x)
ƒ(x)/g(x)
ƒ(x)+ƒ(g); The sum of two functions. ... Substitute the value fo…
ƒ(x)-ƒ(g); The difference of two functions. ... Substitute the v…
ƒ(x) · ƒ(g); The product of two functions. ... Substitute the va…
ƒ(x)/ƒ(g); The quotient of two functions, where g(x) ≠ 0. ... Su…
(ƒ + g) (x)
ƒ(x)+ƒ(g); The sum of two functions. ... Substitute the value fo…
(ƒ - g)(x)
ƒ(x)-ƒ(g); The difference of two functions. ... Substitute the v…
14 terms
Chapter 2: Tools for Algebra
Order of Operations
variable
terms
constants
rules that tell you which operations to do first
a letter that represents a number
parts of an expression separated by a + or - sign
numbers, or quantities, that do not change
Order of Operations
rules that tell you which operations to do first
variable
a letter that represents a number
27 terms
Algebra 2 Chapter 2 Vocabulary
absolute value function
boundary
dependent variable
domain
y = a|x-h|+k
a line or curve that separates the coordinate plane into two…
the variable whose values depend on the values of the indepen…
the set of all x-coordinates of the ordered pairs of a relation
absolute value function
y = a|x-h|+k
boundary
a line or curve that separates the coordinate plane into two…
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