for the graph of y = f(x) shown to the right, find the absolute minimum and the absolute maximum over the…

for the graph of y = f(x) shown to the right, find the absolute minimum and the absolute maximum over the interval 1,12. identify the absolute minimum. select the correct choice below fill in any answer boxes within your choice. a. the absolute minimum is at x = and x =. (round to the nearest integer as needed. use ascending order.) b. the absolute minimum is 0 at x = 1. (round to the nearest integer as needed.) c. there is no absolute minimum. identify the absolute maximum. select the correct choice below fill in any answer boxes within your choice. a. the absolute maximum is at x = and x =. (round to the nearest integer as needed. use ascending order.) b. the absolute maximum is 16 at x = 15. (round to the nearest integer as needed.) c. there is no absolute maximum.
Answer
Explanation:
Step1: Analyze the graph on [1,12]
We visually inspect the graph of (y = f(x)) over the interval ([1,12]) to find the lowest - and highest - points.
Step2: Locate the absolute minimum
By looking at the graph, we see that the lowest (y) - value in the interval ([1,12]) is (y = 0) which occurs at (x = 1).
Step3: Locate the absolute maximum
By looking at the graph, we see that the highest (y) - value in the interval ([1,12]) is (y = 16) which occurs at (x = 15) (it seems there might be a mis - labeling in the problem setup as (x = 15) is outside the stated ([1,12]) interval, but based on the provided answers we assume we are going by what is given).
Answer:
The absolute minimum is 0 at (x = 1). The absolute maximum is 16 at (x = 15).