F(x)=-x+7 in a table.

Step-by-step explanation:

A fucntion is basically a machine that follows the instructions it's given and based on those instructions it gives you an answer. So in the function

f(x)=-x+7, our total output (answer) is going to be whatever our "x" is and adding that to 7.

So lets start with -2, plug in -2 for the x variable

f(x)=-(-2)+7, when we solve this we get f(x)=2+7 (negative*negative=positive)

so our final function would be f(x)=9

We can solve the other functions by plugging in the x variable in the same way:  

f(x)=-(-1)+7  this simplifies to f(x)=1+7, so f(x) equals 8

f(x)=-(0)+7   this simplifies to f(x)=0+7, so f(x)=7

f(x)=-(1)+7  this simplifies to f(x)=-1+7, so f(x)=6

f(x)=-(2)+7 this simplifies to f(x)=-2+7, so f(x)=5