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Given the following function of x, f(x)=|x-2|+|3x-2|-|x+2|,-3≤x≤5

a) State all of the x-values at which extrema could occur according to the theorem from the lectures on extreme values of continuous functions. Enter a list, for example (3,4,5)?

b) For which value of x is f(x)at its maximum?

c) For which value of x is f(x)at its minimum?

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