Question

Which statement is true about the graphed function?

a. F(x) < 0 over the interval (–[infinity], –4).
b F(x) < 0 over the interval (–[infinity], –3).
c. F(x) > 0 over the interval (–[infinity], –3).
d. F(x) > 0 over the interval (–[infinity], –4).

Answer 1

The correct statement about the graphed function is that F(x) > 0 over the interval (–[infinity], –4).

Step-by-step explanation:

The correct statement about the graphed function is:

d. F(x) > 0 over the interval (–[infinity], –4).

To determine the intervals where the function is positive or negative, we need to analyze the behavior of the function. Since the graphed function is a horizontal line, it never crosses the x-axis. Therefore, it is always positive. So, the correct statement is that the function is greater than zero over the interval (–[infinity], –4).