Question

Which statement is true about the graphed function?

3
O F(x) < 0 over the interval (-0, -4)
O F(x) < 0 over the interval (-0, -3)
O F(x) > 0 over the interval (-00, -3)
O F(x) > 0 over the interval (-00, -4)
2
х
-9
-12

Answer 1

F(x)>0 over the interval
`(-\infty,-4)`

Explanation:

If you pay close attention to the intervals given in the options, you can see that they are talking about the region to the left of either x=-3 or x=-4. The only statements that makes sense is that:

F(x)>0 over the interval
`(-\infty,-4)`

When they say F(x)>0, they mean that the graph is above the x-axis and that will only happen when the x-values that are to the left of x=-4, therefore the answer would be:

F(x)>0 over the interval
`(-\infty,-4)`