In the region `x < -2`, the function is defined as:

`y = -2x - 8`

As x gets closer to `-2` from the left side, we can see that the value of the function gets closer to `-4`.

Now for the region `x > -2`. The function on this side is defined as

`y = 3x + 2`

As x approaches `-2` from the right, we see that the function value also approaches `-4`.

The function is not defined at `x = -2` so it is not continuous there. We represent this with an open circle on the graph.

1 2 3 4 5 -1 -2 -3 -4 -5 5 10 15 -5 x y (-2, -4)
`y = -2x-8`
`y = 3x + 2`

Graph of a split function.

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