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x-axis

The horizontal axis on a coordinate plane.

y-axis

The vertical axis on a coordinate plane.

coordinate plane

A plan formed by the intersection of a horizontal number line called the x-axis and a vertical number line called the y-axis.

quadrants

Four regions into which a coordinate plane is divided by the x-axis and the y-axis

origin

The centre point of a number line (ground floor of a hotel, freezing point on a thermometer)

ordered pair

A pair of numbers that can be used to locate a point on a coordinate plane.

x-Coordinate

is the first number in an ordered pair and it represents the location relative to the x-axis.

y-Coordinate

The vertical measure, which is the second number in an ordered pair.

discrete graph

a graph that consists of points that are not connected

continuous graph

A graph with no holes, jumps, or breaks.

Relation

A Smart Art graphic type that compares connections between concepts.

Domain

The ______________________ is all the possible INPUT, X, values.

Range

The difference between the greatest number and the least number in a set of data.

mapping

illustrates how each element of the domain is paired with a element of the range.

Function notation

In general, a special numerical relationship where the symbol f(x) replaces y and is read as "the value of f at x" or simply as "f of x".

Input

the first coordinate of an ordered pair in a relation (x,y)

Output

the second coordinate of an ordered pair in a relation (y in x, y)

VERTICAL LINE TEST

A line is a function is it passes the

zeros

the x-intercepts of the graph of a function. The points for where y=0

Arithmetic sequence

a sequence of numbers that has a common difference between every two consecutive terms

common difference

The ______________________ is the amount you ADD to get each new term in a sequence.

an=a1+(N-1)d

arithmetic sequence formula

Linear relation

A relation that forms a straight line when data are plotted on a graph

Non-linear relation

A relation that does not form a straight line when the data are plotted on a graph

Discrete Data

A list-able set of values; usually counts of items

Continuous Data

Data can take on any values in the domain of the variable; usually measurements of something

independent variable

the tested varaible

dependent variable

the measure of change in the independent variable

function

If you repeat an INPUT, and you always get the same OUTPUT, your data is a ______________________ .

slope

(y₂-y₁)/(x₂-x₁)

Create a table of values to represent the graph

If you are having trouble interpreting a graph, what could help you?

If the plotted data forms a straight line

How can you determine if a relation is linear on a graph?

How can you determine if a relation is linear using a table of values?

If the values of x increase or decrease by a constant amount AND values of y increase or decrease by a constant amount.

(1) Words, (2) number lines, (3) a list, (4) set notation, (5) interval notation

What are 5 ways that you can express the domain and range of a relation?

What would you include if you were using words to express domain and range?

Number type (i.e., real, whole, etc...), greater than, less than, greater than or equal to, less than or equal to.

What would you include if you were using a number line to express domain and range?

Number line, solid circles if value is included (greater/lesser than or equal to), open circles if value in not included (greater/less than), dots if discrete data, line if continuous data.

Domain: {0, 1, 3, 5}, Range: {0, 5, 7}

What would a list for the relation (0,0), (1, 5), (3, 7), (5, 7) look like?

{x|x≤10, x∈R}

What does set notation look like?

such that

What does the | mean in set notation

is an element of

What does the symbol "£" mean?

What is included if you were using interval notation to express domain and range?

[ if end number is included, ( if end number is not included, ∞) if no end point.

[0, 10], or (20, ∞)

What does interval notation look like?