Based on the cost and revenue functions to the company for selling x items, the domain of C(x) is [0, 100].
The range of C(x) is (200, 4,200).
The domain would be the lowest capacity and the maximum capacity. As these are physical units to sell, the lowest unit would be 0 units as units can't be negative.
The maximum capacity is given as 100 items so the domain is:
= [0, 100]
The range is:
When x is 0, the function gives C(x) as:
= 40(0) + 200
= 200
When x is the maximum of 100, the C(x) is:
= 40(100) + 200
= 4,200
Range is:
(200, 4,200)
Full question is:
What is the domain and range of C(x)?
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