Question

Which function is positive for the entire interval [-3, -2]

Answer 1

Graph 2 represents that the function is positive for the entire interval [-3, -2].

Explanation:

We are given four different graphs for different functions. We have to find the graph that is positive for the entire interval [-3,-2].

We make the following observation from the given graphs.

• In graph 1, the function has a value of 0 at -3 and and the value decreases from -3 to -2. Thus, the function is negative in the given interval.
• In graph 2, it can be clearly seen that the function has a positive value, through the entire given interval.
• In graph 3, the function shows negative value entirely in the given interval.
• In graph 4, the function exhibits both positive and negative value in the given interval and in not positive in the entire interval.

Thus, function in graph 2 is positive for the entire interval [-3, -2].

Answer 2

Graph B

Explanation:

We are given 4 graphs.

We need to find the function graph which is positive of the entire interval [-3, -2]

It is a closed interval. So it is inclusive of -3 and -2

In these interval the graph of y value must be in positive region.

By looking at the graph, the graph B has positive y-values in the entire interval [-3, -2]

Therefore, the answer is Graph B)