For the shown graph, let us make some notes to get the correct option.
First let us see that are the positive and what are the negative values of y's in the shown graph.
Note: The values of y's down the x-axis are negative and up the x-axis are positive.
From (-infinity to -2.7) it has negative values of y, that is less than 0 because it's down the x-axis.
From (-1 to 0.08) it also has negative values of y, that is less than 0.
Therefore, correct option is option B). f(x) < 0 over the intervals (-infinity, -2.7) and (-1 ,0.8).
