(a) State the domain and range of f (assume that the chemist wants a non-negativ
ID: 2844816 • Letter: #
Question
(a) State the domain and range of f (assume that the chemist wants a non-negative amount of both copper and tin).
Domain:
Range:
What do each of the answers mean in the context of bronze?
The domain tells us the minimum amount of copper the chemist could add to or remove from the bronze. the possible amounts of copper the chemist could add to or remove from the bronze. the lowest percentage of copper in the bronze alloy. the highest percentage of copper in the bronze alloy. the maximum amounts of copper the chemist could add to or remove from the bronze.
The range tells us the possible amounts of copper the chemist could add to or remove from the bronze. the maximum amounts of copper the chemist could use to create the bronze. the maximum and minimum proportions of copper the chemist could use to create the bronze. the possible percentages of copper the chemist could use in her alloy. the maximum and minimum percentages of copper the chemist could use in her alloy.
(b) Write a formula in terms of x for f(x).
(c) If the formula you found in part (b) was not intended to represent the percentage of copper in an alloy of bronze, but instead simply defined an abstract mathematical function, what would be the domain and range of this function?
Domain:
Range:
Note: Write your answers for domain and range questions in interval notation. If the answer includes more than one interval write the intervals separated by the union symbol, U. If the answer involves ??, input -inf ; if the answer involves ?, input inf .
Explanation / Answer
f(x)=4+x /8+x
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If the formula you found in part (b) was not intended to represent the percentage of copper in an alloy of bronze, but instead simply defined an abstract mathematical function, what would be the domain and range of this function?
Domain: All Reals, x not equal -8
Range: All Reals,f(x)not equal 1
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