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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…
25 terms
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…
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…
8 terms
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)
10 terms
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?
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)
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
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
33 terms
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…
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)
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)
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…
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…
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…
42 terms
Algebra 2 Chapter 2 Vocabulary
Parent Function
Line of Best Fit
Scatterplot
Reflection
Simplest form of a set of functions that form a family
The trend line that finds the most accurate model of related…
Graph that relates two different sets of data by plotting the…
Flips the graph of a function across a line
Parent Function
Simplest form of a set of functions that form a family
Line of Best Fit
The trend line that finds the most accurate model of related…
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.
22 terms
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
21 terms
Algebra 2 Chapter 2 VOCAB
relation
domain
range
function
a set or collection of points
the set of all inputs in a relation
the set of all outputs in a relation
a relation in whom each input has a unique output
relation
a set or collection of points
domain
the set of all inputs in a relation
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…
38 terms
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
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…
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…
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
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
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
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…
11 terms
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…
22 terms
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…
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…
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…
20 terms
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.
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
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
12 terms
Algebra Readiness Chapter 2 (Fractions)
Equivalent Fractions
Least Common Denominator (LCD)
Simplest Form
Proper Fraction
Fractions that represent the same number
The least common multiple of the denominators of two or more…
a fraction is in simplest form if its numerator and denominat…
A fraction whose numerator is less than its denominator
Equivalent Fractions
Fractions that represent the same number
Least Common Denominator (LCD)
The least common multiple of the denominators of two or more…
10 terms
Algebra I Chapter 2.1-2.5
formula (2.1)
solve an equation (2.2)
equivalent equations (2.2)
subtraction property of equality (2.2)
a rule for the relationship between certain quantities
to find the value of the variable that makes the equation true
have the same solution
if an equation is true and the same number is subtracted from…
formula (2.1)
a rule for the relationship between certain quantities
solve an equation (2.2)
to find the value of the variable that makes the equation true
19 terms
Algebra 2, Chapter 2
Relation
Domain
Range
Functions
a mapping, or pairing, of input values with output values
input values(x values)
output values(y values)
relationship where each x value has exactly one y value
Relation
a mapping, or pairing, of input values with output values
Domain
input values(x values)
8 terms
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
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…
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 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
13 terms
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
31 terms
Algebra Chapter 2 Review
The Distributive Property
Distribute: x (2 + x)
8x + 16y - 24z
Like terms
The FACTOR on the outside of the parentheses distributes (mul…
2x + x²
Distribute: 8 (x + 2y - 3z)
Terms that are separated by "+" or "-" can only be combined i…
The Distributive Property
The FACTOR on the outside of the parentheses distributes (mul…
Distribute: x (2 + x)
2x + x²
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.
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
17 terms
Algebra Chapter 2
Even Function
Odd Function
Linear Function
Absolute Value Function
symmetric to y axis... f(-x)= f(x)
symmetric to origin... f(-x)= -f(x)
y=x... f(x)=a(x-h)+k
y=|x|... f(x)=a|x-h|+k
Even Function
symmetric to y axis... f(-x)= f(x)
Odd Function
symmetric to origin... f(-x)= -f(x)
24 terms
Parent Functions (Algebra 2)
Linear
Absolute Value
Quadratic
Cubic
Linear
Absolute Value
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…
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