Answers:
Domain = -3,0,3,6
Range = 1,2,3,4
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Step-by-step explanation:
The domain is the set of allowed x inputs of a function. We simply type in the values your teacher gave you, which are: -3, 0, 3, 6 as the domain.
To find the range, we plug each item from the domain separately one at a time into the equation to find the y value.
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If x = -3, then,
y = x/3 + 2
y = -3/3 + 2
y = -1 + 2
y = 1
The domain item of x = -3 pairs up with the value y = 1 in the range.
In short, 1 is in the range.
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If x = 0, then,
y = x/3 + 2
y = 0/3 + 2
y = 0 + 2
y = 2
The value 2 is also in the range.
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If x = 3, then,
y = x/3 + 2
y = 3/3 + 2
y = 1 + 2
y = 3
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If x = 6, then,
y = x/3 + 2
y = 6/3 + 2
y = 2 + 2
y = 4
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The y values we got at the end of each section were: 1,2,3,4
This consists of the range that corresponds to the given domain.