What is the maximum m (a) of the quadratic function f (x) = - 2x Λ 2-8ax + 3 (0 ≤ x ≤ 4) | Math enthusiast | Mathematical art

What is the maximum m (a) of the quadratic function f (x) = - 2x Λ 2-8ax + 3 (0 ≤ x ≤ 4)

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Deriving f '(x) = - 4x-8a = - 4 (x + 2a)
If x + 2A > 0, then f (x) is a monotone decreasing function, so when a > = 0, max (f (x)) = f (0) = 3
When - 2

Given the function f (x) = - x ^ 2-2x + 3, X ∈ [- 3, t], find the maximum value of F (x)

∵f(x)= -x²-2x+3
=-(x+3)(x-1)
=-(x+1)²+4
When t ≥ - 1, f (x) max = 4 (x = - 1),
When t

Given the function f (x) = - x ^ 2 + 2x + 3, find out if x belongs to the maximum value of [T + 2]

a=-1

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