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y=x2+x+1x
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Solution
Domain:x<0orx>0
Range:f(x)≤−1orf(x)≥3
Intercepts:None
Asymptotes:Verticalx=0,Slanty=x+1
ExtremePoints:Maximum(−1,−1),Minimum(1,3)
+1
Interval Notation
Domain:(−∞,0)∪(0,∞)
Range:(−∞,−1]∪[3,∞)
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Domain of x2+x+1x:x<0orx>0
Range of x2+x+1x:f(x)≤−1orf(x)≥3
Axis interception points of x2+x+1x:None
Asymptotes of x2+x+1x:Vertical:x=0,Slant:y=x+1
Extreme Points of x2+x+1x:Maximum(−1,−1),Minimum(1,3)