#### Study sets matching "functions algebra chapter 4"

#### Study sets matching "functions algebra chapter 4"

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.

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…

Linear function

Rate of change

Slope

Slope-intercept form

A linear function is a function whose points lie on a straigh…

A rate of change is a comparison between two quantities that…

Slope is a ratio that describes steepness,... Slope = vertical c…

An équation written in the form y = mx + b is in slope-interc…

Linear function

A linear function is a function whose points lie on a straigh…

Rate of change

A rate of change is a comparison between two quantities that…

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.

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.

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)

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

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-…

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…

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

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…

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…

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…

Quadratic Function

Parabola

Vertex

Axis of Symmetry

a function that can be written in standard form y=ax^2 + bx +…

The U-shaped graph of a quadratic function

Th lowest or highest point on a parabola

The vertical line that divides the parabola into mirror image…

Quadratic Function

a function that can be written in standard form y=ax^2 + bx +…

Parabola

The U-shaped graph of a quadratic function

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…

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

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.

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

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

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…

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…

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)

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

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…

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…

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 <…

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

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

Coincide

Elimination Method

Equal Values Method

Equation

2 equations do this if they have all their points in common.

A method to solve a system of equations by adding or subtract…

Take two expressions that are equal to the same variable and…

Mathematical sequence in which two expressions appear on eith…

Coincide

2 equations do this if they have all their points in common.

Elimination Method

A method to solve a system of equations by adding or subtract…

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…

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

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)

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

Elimination Method

Let Statement

Model

Point of Intersection

a method of solving a system of equations by multiplying and…

...

A set of pictures or mathematical equations, used to describe…

A point (x,y) that lies on the graph of two, or more, equatio…

Elimination Method

a method of solving a system of equations by multiplying and…

Let Statement

...

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…

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)

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…

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

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…

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…

best-fit line

correlation coefficient

parallel lines

perpendicular lines

The line that most closely approximates the data in a scatter…

A value that shows how close data points are to a line.

Lines in the same plane that do not intersect and either have…

Lines that intersect to form a right angle.

best-fit line

The line that most closely approximates the data in a scatter…

correlation coefficient

A value that shows how close data points are to a line.

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.

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

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…

bivariate data

constant function

constraint

identity function

Data with two variables

a function of a form y=b where b is some number

a condition that a solution must satisfy

linear equation y = x, graph is a line going through origin a…

bivariate data

Data with two variables

constant function

a function of a form y=b where b is some number