# 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.

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…

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.

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 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…

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…

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)

Slope-Intercept Form

Slope Formula

Linear Extrapolation

Point-Slope Form

Equation of the form y = mx+b, where m is the slope and b is t…

Process of using a linear equation to make predictions

Slope-Intercept Form

Equation of the form y = mx+b, where m is the slope and b is t…

Slope Formula

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…

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

4.1 polynomial end behaviors

4.2 adding and subtracting polynomials

4.2 pascals triangle

4.3 dividing polynomials

POSITIVE leading coefficient and ODD degree:... as x --> positive…

REMINDER: exponents stay the same

1... 1 1... 1 2 1... 1 3 3 1... 1 4 6 4 1... 1 5 10 10 5 ... EXAMPLE: see study…

REMINDER: make sure all exponent values are in order for both…

4.1 polynomial end behaviors

POSITIVE leading coefficient and ODD degree:... as x --> positive…

4.2 adding and subtracting polynomials

REMINDER: exponents stay the same

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

Consecutive

Percent

Circle graph

Interest

Following one after another in order

A ratio that compares a number to 100

A data display that uses pieces of a circle to show parts of a…

A sum paid or charged for the use of money or for borrowing mo…

Consecutive

Following one after another in order

Percent

A ratio that compares a number to 100

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…

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

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…

Function

Domain

Range

Independent

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

The set of input values (x-coordinates) of a function.

The set of output values (y-coordinates) of a function

A variable (often denoted by x ) whose variation does not depe…

Function

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

Domain

The set of input values (x-coordinates) of a function.

Continuous data

Dependent variable

discrete data

domain

data that can take on any value. There is no space between dat…

The variable in a retalion with a value that depends on the va…

Data with space between possible data values. Graph represente…

The set of X-coordinates in a relation

Continuous data

data that can take on any value. There is no space between dat…

Dependent variable

The variable in a retalion with a value that depends on the va…

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.

Slope-Intercept Form

Linear Extrapolation

Point-Slope Form

Parallel Lines

an equation written in the form y=mx+b is in slope-intercept f…

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

y - y₁=m(x - x₁)

Two lines in the same plane that never intersect. Parallel lin…

Slope-Intercept Form

an equation written in the form y=mx+b is in slope-intercept f…

Linear Extrapolation

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

slope-intercept form

linear extrapolation

point-slope form

parallel lines

y = mx + b when m=slope and b=y-intercept

using a linear equation to make predictions about values that…

to write an equation of a line when given the coordinates of o…

lines in the same plane that do not intersect

slope-intercept form

y = mx + b when m=slope and b=y-intercept

linear extrapolation

using a linear equation to make predictions about values that…

constant of variation

direct variation

family of functions

linear equation

The constant k in direct and inverse variation equations.

A linear relationship between two variables, x and y, that cab…

A set of functions whose graphs have basic characteristics in…

An equation that can be written in the form of Ax+By=C where A…

constant of variation

The constant k in direct and inverse variation equations.

direct variation

A linear relationship between two variables, x and y, that cab…