f(-1.5) means "the output of the function when the input is x = -1.5"
Look at the piecewise function to see where x = -1.5 would fit in. For this particular function, it fits in with the first piece where it says

The rule there is simply a "-2" meaning that whatever teh input is for that piece, the output is -2
Therefore, f(-1.5) =
-2----------------------------------------------------------------
The next answer is f(0.1) =
0The reason why is because 0.1 fits in with the third piece. The value 0.1 is between -0.5 and 0.5
----------------------------------------------------------------
Finally, x = 0.5 makes the last inequality restriction true. So therefore, f(0.5) =
1----------------------------------------------------------------
The three answers are
-2, 0, 1in that exact order