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Function: A rule that assigns every input ONLY ONE output
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Ex: f(x)= 1 Domain {x: x = 0}
/
x
f(x)= √x Domain {x: x ≥ 0 }
x−3
f(x)= √x+4 Domain {x: x ≥ 3, x =− 4 } → {x: x ≥ 3 } simplifies because it is implied the x
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If S1, S2 are sets S1 ⋃ S2 {x is in either S1 or in S2 }
Ex: {1,2} ⋃ {2,3}={1,2,3}
S1 ⋂ S2 = {x : x is in S1 and S2}
Ex: {1,2} ⋂ {2,3}={2}
End points are not included in the set- open interval ( )
End points are included in the set- closed interval [ ]
Ex: [a,b)= {x: x ≥ a, x
h(x) = √x2 − 4 Domain {x: x ≥ 2, x ≤ -2} or (- ∞ ,-2] ⋃ [2, ∞ )
Graphing
Graph of a function is the set of points such that there is at least one x with f(x)=y
Open circle means the point is not included, closed circle means the point is included
In the set of a graph of a function every vertical line must intersect the graph at most at ONE
POINT
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