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Question

Range of the function f(x)=x2+x+2x2+x+1;xϵR is



A

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B

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C

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D

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Solution

The correct option is C


We have,f(x)=x2+x+2x2+x+1=(x2+x+1)x2+x+1=1+1(x+12)2+34We can see here that as x,f(x)1 which is the min value of f(x).Also f(x) is max when (x+12)2+34is min which is so when x=12 and then 34.  fmax=1+134=73    Ri=(1,73]


Mathematics

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