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 at x = (type whole numbers. use a comma to separate answers as needed. type each answer only once.) b. the function does not have a minimum value.

Explanation:

Step1: Identify the minimum value of the function

The minimum value of a function on a graph is the lowest \( y - \) value ( \( f(x) \) value) that the function attains. Looking at the graph, the lowest \( y - \) value is \( - 7\).

Step2: Identify the \( x - \) value at which the minimum occurs

We then find the \( x - \) coordinate of the point where the minimum \( y - \) value occurs. From the graph, when \( y=-7\), \( x = 0\).

Answer:

A. The function has a minimum value of \( - 7\) at \( x = 0\)