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you have to evaluate you function at points: x=-4, x=3, first
At -4=13 and at 3=6
ok! now you have to compute the first derivative of your function

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Other answers:

are you familiar with differential calculus, please?
2x-3
that's right! Now your first derivative is equal to zero at x=3/2, right?
Yes
nevertheless x=3/2 is not a local point of maximum
So how would I find it
you have to establish the answer using the values above, namely f(-4) and f(3)
So I would plug it into the derived equation?
no, your values are: f(-4)=13, and f(3)= 6 so what is the greatest value?
f(-4)=13
correct! so the absolute maximum value is at x=-4, ant it is 13
Okay thank you!
:)

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