Download Unit 2 Vocabulary

Unit 4 · FUNCTIONAL RELATIONSHIPS ·
vocabulary
arithmetic
sequence
closed rule of
a sequence
explicit
formula
recursive
definition
A sequence with a common difference; the difference between one term
and the next term is always the same. The difference is called the common
difference, or constant difference.
A term derived from its position in the sequence, n. This is also known as
the explicit form of a sequence.)
explicit formula: an = a1 + ( n - 1) d
an represents the nth term of the sequence;
a1 represents the first term in the sequence;
d is the common difference for the arithmetic sequence; and
n represents the NUMBER of a term (for the 7th term, n would be 7).
This form should be simplified whenever possible.
tn = tn – 1 + d
A type of sequence in which each term, tn, is derived from the term before
it, tn – 1.
recursive definition:
n
the POSITION of the term in the sequence
d is the common difference for the arithmetic sequence;
common ratio The number multiplied (or divided) at each stage of a geometric sequence
domain
The set of the x-values (first members) of each ordered pair (relation)
function
A set of ordered pairs in which each input (x) value corresponds to exactly
one and only one output (y) value
geometric
A sequence in which each term is derived by multiplying (or dividing) by the
sequence
same value from one term to the next. So 1, 2, 4, 8, 16,... and 81, 27, 9, 3, 1,
1/3,... are geometric, since you multiply by 2 and divide by 3, respectively,
at each step.
linear
An equation in which the variable or variables are only raised to the first
equation
power; the graph of a linear equation is a straight line
linear function A function that has a constant rate of change and whose graph is a straight
line; a function of the type y = f(x) = mx + b because its graph is a straight
line
linear relation A relation whose ordered pairs lie along a straight line when graphed on a
coordinate plane; the rate of change IS constant
non-linear
A relation whose ordered pairs do not lie along a straight line when graphed
relation
on coordinate plane; the rate of change in NOT constant
number
A list of numbers that follow a certain sequence
patterns
range
The set of the y-values (second members) of each ordered pair (relation)
rate of
A ratio that compares two quantities; the slope of a line can be used to
change
identify the rate of change
relation
sequence
slope
vertical line
test
x- intercept
of a graph
y-intercept
of a graph
A set of ordered pairs that connects a set of input numbers, or x-values, to
a set of output numbers, or y-values
An ordered list of numbers or terms that usually follow a pattern.
The ratio of the vertical change of a line to the horizontal change of the
line; or the ratio of the rise to the run of a line; refers to the steepness of
a line
A method to determine whether a relation is a function; a relation is a
function if no vertical line intersects the graph of the relation at more than
one point
The point where the graph crosses the X-AXIS. The y-coordinate of the
x-intercept is 0, as in (3, 0).
The point where the graph crosses the Y-AXIS. The x-coordinate of the
y-intercept is 0, as in (0, 3).