Question

for the function graphed, give the minimum and maximum values of ( f(x) ) and the ( x )-values at which they occur. find the minimum. select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. a. the function has a minimum value of ( square ) at ( x=square ). (type whole numbers.) b. the function does not have a minimum value.

Explanation:

Step1: Analyze the graph for minimum value

A minimum value of a function on a graph is the lowest \(y -\)value (since \(y = f(x)\)) that the function attains. Looking at the given graph, we can observe the \(y -\)coordinate of the lowest point of the graph.

Step2: Determine the \(x\) and \(y\) values

The lowest point of the graph has a \(y -\)value ( \(f(x)\)) of \(- 5\) and the corresponding \(x -\)value is \(3\).

Answer:

A. The function has a minimum value of \(-5\) at \(x = 3\)