Episide I: The Swaggiest Thing Eva Flashcards
Function
a relation in which every element of the domain is paired with exactly one element of the range; that is, for every value of x, there is exactly one value of y.
Curve
the graphical representation of the solution set for y = f(x); in the special case of a linear equation, the curve will be a line
Dependent Variable
the output variable of a function
Domain
the set of all inputs of a function; the set of x-values that are valid for the function
Function Notation
a way to name a function using f(x) instead of y
Independent Variable
the input variable of a function
Linear Equation
an equation that can be written in the form ax + by = c, where a, b, and c are rational numbers; can also be written as y = mx + b, in which m is the slope, b is the y-intercept, and the graph is a straight line. The solutions to the linear equation are the infinite set of points on the line
Ordered Pair
a pair of values (x, y) where the order is significant
Range
the set of all outputs of a function; the set of y-values that are valid for the function
Relation
a relationship between two sets of elements
Solution Set
the set of ordered pairs that represent all of the solutions to an equation or a system of equations
System
a set of more than one equation
Discrete
individually separate and distinct
Explicit Formula
a formula used to find the nth term of a sequence; the explicit formula for an arithmetic sequence is an = a1 + (n – 1)d; the explicit formula for a geometric sequence is an = a1 • r n – 1
Natural Numbers
set of positive numbers [1, 2, 3, 4…]