Question

The volume, in cubic centimeters, of a fish tank is represented by the polynomial model

Answer 1

The polynomial's maximum value is relative.

Is the maximum relative or absolute?

Here we have the polynomial:

$V(x) = 36x^2 - 3.75x^3$

Notice that the leading coefficient is negative, so, as x tends to negative infinite, V(x) will tend to positive infinite.

So we only have a relative maximum, because is local maximum (at x = 6.4), but the function can take larger values than that.

You can also check that on the graph of V(x), which you can see below:

If you want to learn more about maximums:

brainly.com/question/1938915

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