05.04 Using the Candidates Test to Determine Absolute Extrema

Determine the x-value where a possible global maximum for a function h occurs on the interval −4 ≤ x ≤ 2 when h(x) = x3 − 4x2.

0

What is the global minimum of the function f(x)= |x − 2| on [−5, 5]?

0

Find the absolute maximum of f of x is equal to the square root of the quantity 4 minus x squared end quantity on [−2, 2].

2

Let g(x) = 3x2 − 3x. At what value of x on the interval [0, 2] does g have a possible absolute maximum?

2

Given g(x) = 0.5x4 + 4x, determine the x-value for the absolute minimum of the function g(x) on [−2, 3].

negative 3 cube root of 2