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range f(x)=1x2
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Solution
f(x)>0
+1
Interval Notation
(0,∞)
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Function range definition
The set of values of the dependent variable for which a function is defined
Rewrite as
1x2=y
Multiply both sides by x2
1=yx2
The range is the set of y for which the discriminant is greater or equal to zero
Discriminant 1=yx2:4y
4y≥0:y≥0
Check if the range interval endpoints are included