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The phrase "absolute value of x and then subtract 7" can be expressed as:
[tex]f(x)=|x|-7[/tex]With this expression we can calculate the outputs for the given inputs.
[tex]\begin{gathered} f(-2)=|-2|-7=2-7=-5 \\ f(-1)=|-1|-7=1-7=-6 \\ f(0)=|0|-7=-7 \\ f(1)=|1|-7=-6 \\ f(2)=|2|-7=-5 \end{gathered}[/tex]The function outputs -5 when the input is -2, then -6 when the input is -1, -7 when the input is 0, -6 when the input is 1 and -5 when the input is 2.