Answer:
Step-by-step explanation:
So I'm going to make the table here.
x f(x)
-3 -2
-2 0
-1 2
0 2
1 0
2 -8
3 -10
4 -20
Without looking at the answers we are going to deduce what intervals could make f(x) positive. Well, where is it shown as positive for the numbers given? well f(-1) and f(0) are positive, both at 2. then both f(-2) and f(1) are 0, then everything below -2 and above 1 make f(x) negative, so it looks like everything up until -2 is negative, but increasing then at -2 it turns to 0 and keeps increasing at least until some time after f(-1). It might even just stay at 2 until it gets to f(0), and then after that it decreases. Hopefully that makes sense.
Given the description, and if you on't understand I can try to explain more carefully, where does it look like it's positive? Well, it goes from negative to 0 at -2, then after that it's positive until 1, where it turns to 0 again, before decreasing. so everything between -2 and 1 look to make f(x) positive. Since f(-2) and f(1) don't themselves though it means they are not included, so you use parenthesis.
so the answer is (-2,1) Again, let me know if you need more of an explanation.
