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the range of f(x) = (2 + 2x – x 2 ) is please answer briefly all of the asked questions

the range of f(x) = (2 + 2x – x2 ) is 
please answer briefly all of the asked questions
 

Grade:12th pass

1 Answers

Arun
25750 Points
6 years ago
Dear aman
We can write it f(x) as
f(x) = -(x²-2x+1) +3
f(x) = -(x-1)² +3
Now its maximum value will be 3 which will be at x = 1
But we can't say about its minimum value.
Hence Range = (- infinity, 3]

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