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

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

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…

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 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.

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)

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

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.

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

Slope-Intercept Form

Constant Function

Constraint

Linear Extrapolation

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

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 outsi…

Slope-Intercept Form

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

Constant Function

A linear function of the form y = b.

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-…

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…

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 +…

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

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

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…

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…

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.

function

linear function

nonlinear function

continuous graph

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

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

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 eac…

linear function

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

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

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…