Question 1182368
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The domain is the set of allowed x inputs.
The range is the set of possible y outputs, based on what the inputs are.


If we plug in x = -4, then we get,
h(x) = 2x+2
h(-4) = 2(-4)+2
h(-4) = -8+2
h(-4) = -6
That means the input x = -4 leads to y = -6
The domain value -4 pairs with the range value -6


If you repeat for x = -2, then you should find that h(-2) = -2. So -2 is also in the range.


The value 4 is in the range because h(1) = 4
Finally, the value 8 is in the range as it pairs with the domain value 3


<font color=red>The range is {-6, -2, 4, 8}</font>


To graph this, you will plot four points and nothing else.
Each point is a paired domain and range value
<font color=red>The four points to plot are:
(-4, -6)
(-2, -2)
(1, 4)
(3, 8)</font>
Again, note that the x coordinates are from the domain while the y coordinates are from the range. 


Do <u>not</u> connect the points. This is because a value like x = 0 is not in the domain. This means there are gaps and we just have those four points only that are graphed.
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