referring to the graph of the function above, point x represents... a. a relative maximum, but not the…
referring to the graph of the function above, point x represents... a. a relative maximum, but not the absolute maximum. b. both a relative maximum and the absolute maximum. c. the absolute maximum, but not a relative maximum. d. none of the above. point y represents...
Answer
Explanation:
Step1: Recall definitions
A relative maximum is a point where the function value is greater than the values at nearby points. An absolute maximum is the highest - valued point over the entire domain of the function.
Step2: Analyze point X
Looking at point X on the graph, in its local neighborhood, the function value at X is higher than the values of the function at nearby points, so it is a relative maximum. However, since there is another point (point Z) with a higher function value, X is not the absolute maximum.
Answer:
A. A relative maximum, but not the absolute maximum