Question

If f(x) = −2[x]+ 8, what is f(−1.8)?


4

6

10

12

Answer 1

Answer: 10

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Explanation:

Answer 2

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