# Study sets matching "functions algebra chapter 4"

Study sets

Diagrams

Classes

Users

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.

Linear function

Rate of change

Slope

Slope-intercept form

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

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

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

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

Linear function

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

Rate of change

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

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 va…

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 va…

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.

axis of symmetry

completing the square

complex conjugates

complex numbers

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

a process used to make a quadratic expression into a perfect s…

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 congrue…

completing the square

a process used to make a quadratic expression into a perfect s…

continuous graph

dependent variable

discrete graph

domain

a graph that is unbroken

a variable (often denoted by y ) whose value depends on that o…

a graph composed of isolated points

The set of input values of a function.

continuous graph

a graph that is unbroken

dependent variable

a variable (often denoted by y ) whose value depends on that o…

Linear Equation

Relation

Domain

Range

An equation with a graph that is a straight line

Any set of ordered pairs

The set of x-coordinates of the relation

The set of y-coordinates in a relation

Linear Equation

An equation with a graph that is a straight line

Relation

Any set of ordered pairs

quadratic function

parabola

vertex

axis of symmetry

can be written in the form f(x) = ax² + bx + c where a ≠ 0

the u-shaped graph of a quadratic function

the lowest or highest point on a parabola

a line that divides a parabola into mirror images and passes t…

quadratic function

can be written in the form f(x) = ax² + bx + c where a ≠ 0

parabola

the u-shaped graph of a quadratic function

linear function

linear equation

Standard Form fo a Linear Equation

x-intercept

a function whose graph forms a straight line

any equation that can be written in the standard form of an eq…

Ax + By = C

the x-coordinate of the point where the graph intersects the x…

linear function

a function whose graph forms a straight line

linear equation

any equation that can be written in the standard form of an eq…

slope intercept form

constant function

constraint

linear extrapolation

the equation of a straight line in the form y = mx + b where m…

Consistent horizontal, slope = 0 (Horizontal line)

a condition that a solution must satisfy

The use of a linear equation to predict values that are outsid…

slope intercept form

the equation of a straight line in the form y = mx + b where m…

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 locatio…

coordinate plane

plane with two perpendicular number lines

coordinate axes

perpendicular number lines

Slope-Intercept Form

Constant Function

Constraint

Linear Extrapolation

An equation of the form y = mx + b, where m is the slope and b…

A linear function of the form y = b.

A condition that a solution must satisfy.

The use of a linear equation to predict values that are outsid…

Slope-Intercept Form

An equation of the form y = mx + b, where m is the slope and b…

Constant Function

A linear function of the form y = b.

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…

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

Quadratic Function

Parabola

Vertex

Axis of Symmetry

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

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 images…

Quadratic Function

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

Parabola

The U-shaped graph of a quadratic function

SOLUTION

BOUNDRY CURVE

BOUNDRY LINE

BOUNDARY POINT

a number or expression that makes the equation or inequality t…

The visual dividing marker of a non-linear graph representing…

The visual dividing symbol in a linear graph representing wher…

The endpoint of a ray or segment on a number line where an ine…

SOLUTION

a number or expression that makes the equation or inequality t…

BOUNDRY CURVE

The visual dividing marker of a non-linear graph representing…

Exponential Function

Asymptote

Exponential decay function

Exponential growth function

a function of the form f(x) = ab^x, where a and b are real num…

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 a…

Exponential Function

a function of the form f(x) = ab^x, where a and b are real num…

Asymptote

a line the graph approaches, but never touches

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 eq…

a square matrix that, when multiplied by another matrix, equal…

column matrix

a matrix that has only one column

vertex matrix

a matrix used to represent the coordinates of the vertices of…

arithmetic sequence

common difference

continuous graph

dependent variable

a sequence in which the difference between consecutive terms i…

the difference between consecutive terms in an arithmetic sequ…

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 i…

common difference

the difference between consecutive terms in an arithmetic sequ…

function

linear function

nonlinear function

continuous graph

A relation that assigns exactly one value in the range to each…

A function whose graph is a line is a linear function. You can…

A function whose graph is not a line or part of a line.

A graph that is unbroken.

function

A relation that assigns exactly one value in the range to each…

linear function

A function whose graph is a line is a linear function. You can…

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 t…

The use of a linear equation to predict values that are outsid…

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

Lines that intersect to form a right angle; the product of the…

slope intercept form

An equation of the form y=mx+b where m is the slope and b is t…

linear extrapolation

The use of a linear equation to predict values that are outsid…

axis of symmetry

completing the square

complex conjugates

complex numbers

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

a process used to make a quadratic expression into a perfect s…

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 congrue…

completing the square

a process used to make a quadratic expression into a perfect s…

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 rela…

Best-fit line

the line that most clearly approximates the data in a scatter…

Bivariate data

data with two variables