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Level 363

Relations & Functions II


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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?