Grade 12 Calculus

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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.

f(x) = (x − 1)^2 , 0 ≤ x ≤ 2

  • Grade 12 Calculus -

    clearly a simple parabola

    f ' (x) = 2(1-x) = 0 for a max/min
    x=1
    f(1) = (1-1)^2 = 0

    endpoints:
    f(0) = (-1)^2 = 1
    f(2) = (162 = 1

    parabola opens up, so the minimum is 0 when x = 1

    or
    (the vertex is (1,0) )

    You have posted several of these rather straightforward problems. What is it exactly that you are having difficulties with ?

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