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 [tex]-2.5 \ \textless \ x \le -1.5 [/tex] 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
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The next answer is f(0.1) = 0
The reason why is because 0.1 fits in with the third piece. The value 0.1 is between -0.5 and 0.5
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Finally, x = 0.5 makes the last inequality restriction true. So therefore, f(0.5) = 1
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The three answers are
-2, 0, 1
in that exact order
