Question

refer to the graph of ( y = f(x) ) shown on the right. find the absolute minimum and the absolute maximum over the interval (1,18).
identify the absolute maximum. select the correct choice below fill in any answer boxes within your choice.
a. the absolute maximum is (square) at ( x=square ) and ( x=square ).
(round to the nearest integer as needed. use ascending order.)
b. the absolute maximum is (square) at ( x=square ).
(round to the nearest integer as needed.)
c. there is no absolute maximum.

Explanation:

Step1: Analyze the graph

Look at the values of \(y = f(x)\) over the interval \([1,18]\). The absolute maximum is the highest \(y -\)value in this interval.

Step2: Locate the highest point

From the graph, we can see that there is a single highest point (since the function is increasing towards the end of the interval \([1,18]\) and we are considering the closed - interval \([1,18]\)).

Answer:

B. The absolute maximum is \(11\) at \(x = 18\)