Question

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Answer 1

you have to evaluate you function at points: x=-4, x=3, first

Answer 2

At -4=13 and at 3=6

Answer 3

ok! now you have to compute the first derivative of your function

Answer 4

are you familiar with differential calculus, please?

Answer 5

2x-3

Answer 6

that's right!
Now your first derivative is equal to zero at x=3/2, right?

Answer 7

Yes

Answer 8

nevertheless x=3/2 is not a local point of maximum

Answer 9

So how would I find it

Answer 10

you have to establish the answer using the values above, namely
f(-4) and f(3)

Answer 11

So I would plug it into the derived equation?

Answer 12

no, your values are:
f(-4)=13, and f(3)= 6
so what is the greatest value?

Answer 13

f(-4)=13

Answer 14

correct! so the absolute maximum value is at x=-4, ant it is 13

Answer 15

Okay thank you!

Answer 16

:)