Find the range of f(x) = -x2 + 6x - 1 in [0, 4]

We have. f(x) = -x2 + 6x- 1 =-(x-3)2 + 8 Max value= 8 Also, f(0) = -1,.f{ 4) = 7 Thus, Range = [-1, 8]

We have. f(x) = -x2 + 6x- 1 =-(x-3)2 + 8 Max value= 8 Also, f(0) = -1,.f{ 4) = 7 Thus, Range = [-1, 8]

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Find the range of f(x) = -x² + 6x - 1 in [0, 4]

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[1,2]

[-1, 8]

[1,5]

answer is A.

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We have. f(x) = -x² + 6x- 1

=-(x-3)² + 8 Max value= 8

Also, f(0) = -1,.f{ 4) = 7

Thus, Range = [-1, 8]

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