g(x) = 3x2 − 24x + 49
(c) Find its maximum or minimum value.
Is this a maximum or minimum value?
maximum valueminimum value
For a function f(x) = ax^2 + bx + c, the minimum is attained if a>0. Here a=3, so the minimum value is attained at x = - b/(2a) = - (-24)/(2*3) = 24/6 = 4. The minimum value is g(4) = 3*4^2 - 24*4 + 49 = 48 - 96 + 49 = 1.
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