Consider the function f: R → IR, defined by the rule f(x) = = 23-7x2+8x+16.
Find all of the critical points of f on the interval [-2, 3) and enter them in the box below using Maple syntax as a set
of exact values.
(For example, a typical answer could be (-6,0,2,7/2).)
{-2,2/3,3}
Complete the following sentence.
The function f is guaranteed to have both a maximum and a minimum
continuous
on the interval [-2,3] which is
closed
value on [2, 3] because it is
and bounded.
The maximum value of f on [2, 3] is
The minimum value of f on [-2, 3] is
(Enter your answer as a whole number or an exact fraction..
(Enter your answer as a whole number or an exact fraction.)
At which type of critical point or points does the maximum occur? (Tick all that apply.)
An end point of [-2, 3]
A stationary point of f on (-2, 3)
a point in (-2, 3) where f is not differentiable
