Posted by i am dying helppp on Thursday, April 18, 2013 at 7:01pm.
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  Reiny, Thursday, April 18, 2013 at 8:11pm
clearly a simple parabola
f ' (x) = 2(1x) = 0 for a max/min
x=1
f(1) = (11)^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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