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The range of f(x) =2+2x -x^(2) is :...

The range of `f(x) =2+2x -x^(2) ` is :

A

`(-oo, oo)`

B

`(-oo, 1)`

C

`(-oo, 3]`

D

`(0, oo)`

Text Solution

Verified by Experts

The correct Answer is:
C
`f(x)= -[x^(2)-2x-2]`
Making perfect square `f(x)= -[x^(2)-2x +1 -1-2]`
`f(x)= -(x-1)^(2)+3`
Range of function is `(-oo,3]`
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