20 terms

# Functions

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relation
information that can be represented by a set of ordered pairs.
function
a relation in which each output is paired with exactly one input
vertical line test
visual inspection for checking whether or not a graph represents a function
NAGS
Numerical (Table), Algebraic (equation), Graphical (graph), Sentence or Scenario (verbal description)
independent variable
variable for which input values are substituted in a function*
dependent variable
variable whose value is determined by the input or value of the independent variable
continuous
set of data with no breaks in domain or range; graph has no holes or gaps
discrete
set of data with a finite number of data values; graph appears as individual points on number line or coordinate plane
parent function
most basic function of a particular type
linear function
f(x)=x or y = x where the highest power of x is 1
f(x) =x^2 or y = x^2 the highest power of x is 2
exponential function
f(x) = (b)^x where x is the exponent
absolute value function
f(x)=|x|, the absolute value of x
domain
x-values or set of all inputs of a function
range
y-values or set of all outputs of a function
mapping
mapping is a visual- representation of a relation in which an arrow associates each input --> output
finite set
fixed number of elements in the set
maximum and/or minimum
absolute or relative
y-intercept
(0,y) point at which function crosses the y axis
Transformation Form
y = a(x-h)+k, a is scalar, and (h,k) are transformation from origin