Verified Answer :

Functions whose graphs resemble sets of stairsteps are known as step functions.
The most famous of the step functions is the greatest integer function, which is
denoted by:


\(f(x)=[x]\)


which graph is shown in the Figure below. As you can see from the graph:


\(if \ x=-1.8 \ then \ f(-1.8)=[-1.8]=-2\)


Therefore:


\(f(-1.8)=-2[-1.8]+8=-2(-2)+8=\boxed{12}\)


So the right answer is 12

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