Given that the function f (x) = 4x & # 178; - MX + 5 is an increasing function in the interval [- 2, + ∞), then the range of F (- 1) is_____ . | Math enthusiast | Mathematical art

Given that the function f (x) = 4x & # 178; - MX + 5 is an increasing function in the interval [- 2, + ∞), then the range of F (- 1) is_____ .

f(x)=4x²-mx+5
The opening of the image is upward, and the axis of symmetry x = m / 8
On [M / 8, + ∞) is an increasing function
To increase a function over [- 2, + ∞)
Then M / 8 ≤ - 2
That is, m ≤ - 16
∴ f(-1)=9+m≤-7
That is, the range of F (- 1) is (- ∞, - 7]

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