# Study sets matching "algebra functions chapter 2"

Study sets

Diagrams

Classes

Users

one-to-one function

onto function

discrete relation

continuous relation

A function where each element of the range is paired with exac…

Each element of the range corresponds to an element of the dom…

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 exac…

onto function

Each element of the range corresponds to an element of the dom…

ordered pair

Cartesian coordinate

plane

quadrant

A pair of numbers used to locate a point on a coordinate plane…

is composed of the x-axis (horizontal) and the y-axis (vertica…

A two-dimensional flat surface that extends in all directions

one of four sections into which the coordinate plane is divided

ordered pair

A pair of numbers used to locate a point on a coordinate plane…

Cartesian coordinate

is composed of the x-axis (horizontal) and the y-axis (vertica…

terms

factors

additive inverses

difference

A number, variable, or the product of numbers and variables.

Numbers that are multiplied together to produce a product.

A number and its opposite.

terms

A number, variable, or the product of numbers and variables.

factors

Numbers that are multiplied together to produce a product.

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absolute value function

axis of symmetry

constant of variation

correlation

f(x) = |x| is the parent absolute value function.

A vertical line about which a graph is symmetric.

The constant of variation is represented by k, the ratio of al…

The correlation measures the strength of the relationship betw…

absolute value function

f(x) = |x| is the parent absolute value function.

axis of symmetry

A vertical line about which a graph is symmetric.

Quadratic Function

Parabola

Vertex of a Parabola

Vertex Form of a Quadratic Function

Is a function that can be written in the form f(x)=a(x-h)²+k (…

The graph of the U shaped function f(x)=x²

The lowest or highest point on a parabola

ƒ(x)=a(x-h)²+k, where a, h, and k are constants. Vertex (h,k)

Quadratic Function

Is a function that can be written in the form f(x)=a(x-h)²+k (…

Parabola

The graph of the U shaped function f(x)=x²

one-to-one function

onto function

discrete relation

continuous relation

Each element of the domain pairs to exactly one unique element…

each element of the range corresponds to an element of the dom…

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

Each element of the domain pairs to exactly one unique element…

onto function

each element of the range corresponds to an element of the dom…

Ordered pair

Dependent Variable

Quadrants

Range

pair of numbers that can be used to locate a point on a coordi…

also known as the output of a function

the four regions of a coordinate plane

the set of y-values in a relation

Ordered pair

pair of numbers that can be used to locate a point on a coordi…

Dependent Variable

also known as the output of a function

one to one function

onto function

discrete relation

continuos relation

a function where each element of the range is paired with exac…

each element of the range corresponds to an element of the dom…

a relation in which the domain is a set of individual points

a relation that can be graphed by a line or smooth curve

one to one function

a function where each element of the range is paired with exac…

onto function

each element of the range corresponds to an element of the dom…

inverse variation

direct variation

direct variation formula

domain

this is when two variables change in an opposite manner, so wh…

this is when a variable, for example y, varies directly with a…

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 wh…

direct variation

this is when a variable, for example y, varies directly with a…

Solution of an Inequality

Solution Set

Equivalent Inequalities

Graph of an Inequality

A value that makes an inequality true.

The set of all solutions of an inequality.

Inequalities that have the same solutions.

A graph that shows the solution set of an inequality on a numb…

Solution of an Inequality

A value that makes an inequality true.

Solution Set

The set of all solutions of an inequality.

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

Outside of parentheses

Inside of parentheses

vertical stretch

vertical compression

Up and down

Negative:right ... Positive:left

Multiplies all y-values of a function by the same factor great…

Reduces all y values of a function by some factor between 0 an…

Outside of parentheses

Up and down

Inside of parentheses

Negative:right ... Positive:left

Is a relation a function?

Constant of Variation

Write a function rule

Slope formula

If every element in th domain corresponds to only one element…

Y=kx or k=y/x

Y=kx

y2-y1/x2-x1

Is a relation a function?

If every element in th domain corresponds to only one element…

Constant of Variation

Y=kx or k=y/x

Standard Form

Slope intercept form

Positive slope

Negative slope

Ax + By = C... A, B, C integers... a positive

y= mx+b... m= slope... b= y intercept (where x=0)

slants upward from left to right

Standard Form

Ax + By = C... A, B, C integers... a positive

Slope intercept form

y= mx+b... m= slope... b= y intercept (where x=0)

translation

reflection

stretch/compress vertically

Linear

f(x+h) f(x-h)... left right ... f(x)+k f(x)-k... up down

-f(x) reflects in x-axis... f(-x) reflects in y-axis

a • f(x) |a|>1 stretch... a • f(x) 0<|a|<1 compress

shape: LINE... PARENT: y=x

translation

f(x+h) f(x-h)... left right ... f(x)+k f(x)-k... up down

reflection

-f(x) reflects in x-axis... f(-x) reflects in y-axis

axis of symmetry

complex number

discriminant

greatest common factor

a line that divides a plane figure or a graph into two congrue…

any numbers with "i" in them. (p. 249)

(p. 242)

(GCF) the largest factor that two or more numbers have in comm…

axis of symmetry

a line that divides a plane figure or a graph into two congrue…

complex number

any numbers with "i" in them. (p. 249)

COMPRESS

DILATION

DOMAIN

EVEN FUNCTION

A term used informally to describe the relationship of a graph…

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 graph…

DILATION

A transformation which vertically compresses or stretches the…

Formula

Algebra Tiles

Solve an Equation

Equivalent Equations

Rule for the relationship between two certain quantities

Model for solving equations

Find the value of the variable that makes the equation true

Equations that have the same solution

Formula

Rule for the relationship between two certain quantities

Algebra Tiles

Model for solving equations

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 func…

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 func…

Correlation

Positive Correlation

Negative Correlation

Explanatory Variable

Similarity/association between two variables

If the value of one variable increases while the other one inc…

If the value of one variable decreases while the other variabl…

The variable in that causes the other variables to change

Correlation

Similarity/association between two variables

Positive Correlation

If the value of one variable increases while the other one inc…

arithmetic sequence

geometric sequence

common difference

conjecture

A sequence in which each term is found by adding the same numb…

A sequence in which each term is found by multiplying the prev…

The difference between the successive terms of an arithmetic s…

Reasoning that involves the formation of conclusions from inco…

arithmetic sequence

A sequence in which each term is found by adding the same numb…

geometric sequence

A sequence in which each term is found by multiplying the prev…

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2.1 vertex form

2.1 horizontal translation & vertical t…

2.1 reflections in the x and y axis

2.1 horizontal and vertical shrink and…

VERTICAL:... y=a(x-h)^2+k ... HORIZONTAL:... x=a(y-k)^2+h... (in which h…

VERTICAL:... when the parent function is f(x)=x^2... f(x)+K which eq…

REFLECT IN X-AXIS:... - flips over the axis... for parent function x…

VERTICAL: ... f(x) = x^2 ... a * f(x) = ax^2 ----> A IS VALUE OF STR…

2.1 vertex form

VERTICAL:... y=a(x-h)^2+k ... HORIZONTAL:... x=a(y-k)^2+h... (in which h…

2.1 horizontal translation & vertical t…

VERTICAL:... when the parent function is f(x)=x^2... f(x)+K which eq…

Piecewise-linear Function

Parent Function

Independent Variable

Linear Function

a function in which the equation for each interval is linear

the simplest, most general function, in a family of functions

in a function, the variable, usually x, whose values make up t…

a function whose ordered pairs satisfy a linear equations

Piecewise-linear Function

a function in which the equation for each interval is linear

Parent Function

the simplest, most general function, in a family of functions

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 fift…

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 fift…

x = 2.1

Solve for x. ... 3.8 = x+1.7

domain

range

function

linear function

The input values (x) of a function

The output values (y) of a function

A relation for which each input has exactly one output

Any function that can be written in the form y=mx+b and forms…

domain

The input values (x) of a function

range

The output values (y) of a function