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19 terms

Chapter 2.1

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Interval Notation
a way of writing the set of all real numbers between two endpoints. the symbols [ and ] are used to include an endpoint in an interval, and the symbols ( and ) are used to exclude an endpoint from an interval
closed interval
denoted by [a,b] which contains all real numbers and a≤x≤b
open interval
denoted by (a,b) which contains all real numbers x and a<x<b
half open half closed intervals
are (a,b] consists of all real numbers x were a<x≤b, & [a,b) consists of all real numbers x were a≤x<b
left endpoint
denoted by a
right endpoint
denoted by b
infinity not a real number but a symbol that represents unboundedness in a positive direction; not included in endpoints since not a real number
-∞
negative infinity not a real number but a symbol that represents unboundedness in a negative direction; not included in endpoints since not a real number
[a,∞)
consists of all real numbers x for which x≥a
(a,∞)
consists of all real numbers x for which x>a
(-∞,a]
consists of all real numbers x for which x≤a
(-∞,a)
consists of all real numbers x for which x<a
(-∞,∞)
consists of all real numbers x
a^2
any number squared is never a negative integer
union of 2 sets
relation
correspondence between two sets
x→y
x corresponds to y or y dends on x
x
input relation
y
output relation