Question

Which of the following graphs is the graph of

Answer 1

B

Explanation:

Answer 2

Graph A is the one that represents the given piecewise function.

Explanation:

Notice that the Domain of the given function has been partitioned in three sections:

`-2\leq x<0\,\,; \,\,\,x = 0\,\,;\,\,\,0<x\leq 2`

in the first section we have that the function responds to
`f(x)=x-1`, which is a line of positive slope (ascending line) equal to "1", and y-intercept at y= -1.

This line should therefore start at the point (-2, -3) (when x = -2) and end at y almost equal to -1, when x approaches the value zero; and an empty dot should be seen in the position (0, -1)

For x = 0 we should see a solid dot located at the position (0, 1) on the plane.

And finally for the third section we should see a horizontal segment (that represents a constant value of 3, starting with an empty dot at the point (0, 3), and ending on a solid dot located at (2, 3).

This is what we see represented by the graph labeled A in the list of answer options.