Question

by inspecting the graph of the function, find the absolute maximum and absolute minimum on the given interval.

$f(x)=-sqrt3{x}+3$ on $8,27$

choose the correct graph below.

a.
b.
c.
d.

Explanation:

Step1: Calculate function values at endpoints

For \(x = 8\):
\(f(8)=-\sqrt[3]{8}+3=-2 + 3=1\)
For \(x = 27\):
\(f(27)=-\sqrt[3]{27}+3=-3 + 3=0\)

Answer:

The absolute maximum is \(1\) (at \(x = 8\)) and the absolute minimum is \(0\) (at \(x = 27\)).