Answer: Lower left corner
A piecewise function is basically a combination of other functions to make one single function. We can break up the given piecewise function into two parts:
f(x) = x-4
OR
f(x) = -2x
The f(x) will change depending on what x happens to be. If x is 0 or smaller, then we go with f(x) = x-4. Otherwise, if x is larger than 0, then we opt for f(x) = -2x.
To graph this, we basically graph y = x-4 and y = -2x together on the same coordinate system. We only graph y = x-4 if x is 0 or smaller. Likewise, we graph y = -2x when x > 0. This results in the graph shown in the lower left corner of your four answer choices.
Note: the closed circle means "include this point as part of the graph". The open circle means "exclude this point as part of the graph". So this is why the upper right corner is very close but not quite the answer we want.
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Answer
The difference is -5
Because
In the number line
-3 is in the negative side and
2 is in the positive side
So difference means minus
So,
-3-2
=-5
Remember
- - = + (but the answer should have - sign)
- + = - (the greatest number's sign will be taken)
++ = -
+ - = -
Picture of the answer added just to make you sure
When you round 2.1 to the nearest whole number, the answer will be 2.