Graph 2 represents that the function is positive for the entire interval [-3,-2].
What is a function?
A function is a relation in which each possible input value leads to exactly one output value. We say “the output is a function of the input.” The input values make up the domain, and the output values make up the range.
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.
1. In graph 1 the function has a value of 0 at -3 and the value decreases from -3 to -2. Thus the function is negative in the given interval.
2. In graph 2, it can be clearly seen that the function has a positive value, through the entire given interval.
3. In graph 3, the function shows negative value entirely in the given interval.
4. In graph 4, the function exhibits both positive and negative value in the given interval and in not positive in the entire interval.
Thus, the function in graph 2 is positive for the entire interval [-3,-2].
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