which function is positive for the entire interval -3, -2?

Explanation:

Step1: Analyze the first graph

Check the y - values in the interval [-3, -2]. In the first graph, the function has negative y - values in the interval [-3, -2].

Step2: Analyze the second graph

Examine the y - values in [-3, -2]. The second graph has negative y - values in the interval [-3, -2].

Step3: Analyze the third graph

Look at the y - values for x in [-3, -2]. For all x in the interval [-3, -2], the y - values of the third graph are positive.

Step4: Analyze the fourth graph

Check the y - values in [-3, -2]. The fourth graph has negative y - values in the interval [-3, -2].

Answer:

The third graph.