Which graph represents the piecewise - defined function ?

y = -x -4 if x < -1
2x +1 if x ≥ -1

any counts , .

The graph is shown below.

Step-by-step explanation:

Given:

Piece wise function

Let us plot each of the two functions in the given interval.

For plotting , we find its x and y intercept.

For x intercept, put . This gives,. So, point is (-4,0)

For y intercept, put . This gives, . So, point is (0,-4)

Now, plot these two points and join a straight line. Now . So we erase the part that is greater the point . We make a hollow circle at as is not in the domain of first function.

Similarly, we plot the second line.

For x intercept, put . This gives,. So, point is (-0.5,0)

For y intercept, put . This gives, . So, point is (0,1).

We erase the line that is less than  . We make a solid circle at as it is in the domain of the second function.

Therefore, the graph is as shown below.

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