Pre-Calculus
To get maximum and minimum values of the function substitute x = a and x = b in f (x). Maximum value = f (a) Minimum value = f (b) Maximum and Minimum Values of a Function Using
Use the genetic algorithm to minimize the ps_example function on the region x(1) + x(2) >= 1 and x(2) == 5 + x(1).This function is included when you run this example. First, convert the two constraints to the matrix form A*x <= b and
Solutions 1. The maximum value is the y-coordinate of the vertex, so the maximum value is 4. 2. We will substitute a = -1, b = 3, c = -10 into the formula: We have 3. This function is
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To find a function minimum with this method, there are a few steps: First, take the first derivative f’ (x). Next, solve the equation f’ (x) = 0 to find critical points of f (x). Then, make a sign chart for
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We can use a graphing calculator or computer software to find that the y-coordinate of this turning point is f (1) = -1/4. Therefore, the minimum value of the function is
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