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)`

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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