Question

Which is the graph of the step function f(x)?

Answer 1

Indeed

1 step. Since for all then you should take all points from the line for which - that is the left part of the line and point with x-coordinate -1 must be unfilled, because the sign is <.

2 step. Since for all then you should take all points from the line for which - that is the segment part of the line and points with x-coordinate -1 and 1 must be filled, because the signs are with notion "or equal to".

3 step. Since for all then you should take all points from the line for which - that is the right part of the line and point with x-coordinate 1 must be unfilled, because the sign is >.

Answer: correct choice is B

Answer 2

To determine the graph of the function f(x), consider such steps:

1 step. Since
`f(x)=-1` for all
`x<-1,` then you should take all points from the line
`y=-1` for which
`x<-1` - that is the left part of the line and point with x-coordinate -1 must be unfilled, because the sign is <.

2 step. Since
`f(x)=0` for all
`-1\le x\le 1,` then you should take all points from the line
`y=0` for which
`-1\le x\le 1` - that is the segment part of the line and points with x-coordinate -1 and 1 must be filled, because the signs are with notion "or equal to".

3 step. Since
`f(x)=1` for all
`x>1,` then you should take all points from the line
`y=1` for which
`x>1` - that is the right part of the line and point with x-coordinate 1 must be unfilled, because the sign is >.

Answer: correct choice is B