Question

for the graph of ( y = f(x) ) shown to the right, find the absolute minimum and the absolute maximum over the interval (5,10).
select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
a. the absolute minimum is (square) at ( x=square ) and ( x=square ).
(round to the nearest integer as needed. use ascending order.)
b. the absolute minimum is (square) at ( x=square ).
(round to the nearest integer as needed.)
c. there is no absolute minimum.

Explanation:

Step1: Analyze the graph in the interval [5,10]

We look at the \(y = f(x)\) values for \(x\) from \(5\) to \(10\).

Step2: Identify the lowest point in the interval

By observing the graph, we find the lowest \(y\) - value (absolute minimum) in the interval \([5,10]\).

Answer:

B. The absolute minimum is \(4\) at \(x = 7\)