The domain and the range of a function are the possible input and output values of the function.
The function is given as:
C = 130S + 3500
The domain
This is the possible S values of the function.
S cannot be less than 0, because it represents a physical quantity (i.e. tons of sugar)
The value of S can be any value greater than 0
Hence, the domain of the function is [0, ∞)
The range
This is the possible C values of the function.
The function is given as:
C = 130S + 3500
When S = 0
C = 130(0) + 3500
C = 3500
The above means that:
C cannot be less than 3500
The value of C can be any value greater than 3500
Hence, the range of the function is [3500, ∞)
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