I am doing past papers to revise for my Higher exam on Tuesday and I came across a question that has completely stumped me. It is 12)b) on the attatched image. I have found the greatest possible value. It is 32 units2 and occurs at x = 2. I don't know how to get the minimum value though. According to the answers it is at x = 1 and x = 4 and the area is 20 units2.

Thanks for your help!

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