Question 1182368: Unsure on this, please help me
https://imgur.com/a/Yu0bwx9
Answer by math_tutor2020(3817)   (Show Source):
You can put this solution on YOUR website!
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
The range is {-6, -2, 4, 8}
To graph this, you will plot four points and nothing else.
Each point is a paired domain and range value
The four points to plot are:
(-4, -6)
(-2, -2)
(1, 4)
(3, 8)
Again, note that the x coordinates are from the domain while the y coordinates are from the range.
Do not 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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