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Determine the absolute extrema of each function on the given interval. Illustrate your results by
sketching the graph of each function.

a) f(x) = x^2 − 4x + 3 , 0 ≤ x ≤ 3
b) f(x) = (x − 1)^2 , 0 ≤ x ≤ 2

  • Grade 12 Calculus - ,

    I will do the first, you do the 2nd

    a) y = x^2 - 4x + 3
    dy/dx = 2x - 4 = 0 for max/min
    2x=4
    x = 2

    if x=2, y = 4 - 16 + 3 = -9
    if x = 0, y = 3
    if x = 3 , y = 9 - 12+3 = 0

    the min is -9 and the max is 3

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