Final answer:
The function f(x) is a horizontal line at 8 for 0 ≤ x ≤ 8. To find P(2.5 < x < 7.5), we determine that f(x) is 8 for all x between 2.5 and 7.5.
Step-by-step explanation:
The function f(x) is defined as follows:
f(x) = 8 for 0 ≤ x ≤ 8
To graph this function, we can plot the points (0, 8) and (8, 8), and draw a horizontal line connecting the two points. This represents the portion of the graph where f(x) is equal to 8.
To find P(2.5 < x < 7.5), we need to determine the value of f(x) for values of x between 2.5 and 7.5. Since the function is a horizontal line at 8, the value of f(x) is 8 for all x between 2.5 and 7.5.
The question seems to ask for the evaluation of a piecewise defined function, but the function itself is not clearly provided. In general, evaluating such functions involves identifying the relevant interval for the given x values and substituting them into the correct piece of the function. Sketching the graph would involve plotting each part of the function on a coordinate plane, considering domains and endpoints.