# Study sets matching "functions algebra chapter 4"

Study sets

Diagrams

Classes

Users

increase

decrease

constant

dependent variable

go up;... to make or become larger; to add to

to become or make less; getting smaller

A value that does not change

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

increase

go up;... to make or become larger; to add to

decrease

to become or make less; getting smaller

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…

Quadrants

(x, y)

is formed by a horizontal number line,…

Standard Form

Coordinate plane divided up into four regions

Ordered Pair

Coordinate Plane

Ax+By=C; where A, B, C are integers

Quadrants

Coordinate plane divided up into four regions

(x, y)

Ordered Pair

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 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)

domain

range

independent variable

dependent variable

the set of all possible input values (x)

the set of all possible output values (y)

the variable that represents the inputs

it depends on the value of the independent variable

domain

the set of all possible input values (x)

range

the set of all possible output values (y)

Exponential Function

Asymptote

Exponential Growth

Exponential Decay

A function where the base is constant and the exponent is a va…

A line that a graphed function approaches as the value of x ge…

An exponential function which increases as x increases.

An exponential function which decreases as x increases

Exponential Function

A function where the base is constant and the exponent is a va…

Asymptote

A line that a graphed function approaches as the value of x ge…

Dependent variable

Independent variable

input

output

In the equation y =3x, y is the ___________ variable.

In the equation y =3x, x is the ___________ variable.

is any value of the independent variable.

is any value of the dependent variable.

Dependent variable

In the equation y =3x, y is the ___________ variable.

Independent variable

In the equation y =3x, x is the ___________ variable.

y = 3x - 8

y = 4

y = -x

y = 35x + 75

Equation of the line with a slope: 3 and y-intercept: -8

Equation of the line with a slope: 0 and y-intercept: 4

Equation of the line with a slope: -1 and y-intercept: 0

Write the equation: A computer technician charges $75 for a co…

y = 3x - 8

Equation of the line with a slope: 3 and y-intercept: -8

y = 4

Equation of the line with a slope: 0 and y-intercept: 4

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…

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

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.

exponent

base

exponential form

nth power of b

In a power, the number that indicates how many times the base…

In a power, the number that is used as a factor a given number…

exponent

In a power, the number that indicates how many times the base…

base

In a power, the number that is used as a factor a given number…

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

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

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…

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…

best-fit line

bivariate data

constant function

identity function

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

Data with two variables.

A linear function of the form y = b (horizontal line)

The function y = x

best-fit line

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

bivariate data

Data with two variables.