determine from the given graph whether the function has any absolute extreme values on a, b. determine…

determine from the given graph whether the function has any absolute extreme values on a, b. determine whether the function has any absolute extreme values on a, b. choose the correct answer below. a. the function has an absolute maximum value at x = b and an absolute minimum value at x = c2 on a, b. b. the function has an absolute maximum value at x = c1 but does not have an absolute minimum value on a, b. c. the function has an absolute minimum value x = c2 but does not have an absolute maximum value on a, b. d. the function does not have any absolute extreme values on a, b.
Answer
Explanation:
Step1: Identify absolute maximum
The highest - point of the function (y = f(x)) on the interval ([a,b]) occurs at (x = b) where the function value is the largest among all points in ([a,b]).
Step2: Identify absolute minimum
The lowest - point of the function (y = f(x)) on the interval ([a,b]) occurs at (x=c_{2}) where the function value is the smallest among all points in ([a,b]).
Answer:
A. The function has an absolute maximum value at (x = b) and an absolute minimum value at (x = c_{2}) on ([a,b])