20 terms

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

quadratic function

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