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(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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