Bronze is the alloy or mixture of metals copper and tin. Properties of bronze depend on percentage of copper in mix. The chemist make decision to study properties of the given alloy of bronze as proportion of copper is differed. She begins with 9 kg of bronze which has 3 kg of copper and 6 kg of tin and either adds or removes copper. Consider f (x) be percentage of copper in mix if x kg of copper are added (x>0) or removed (x<0).
(a) Express domain and range of f. What answer means in context of bronze?
(b) Compute the formula in terms of x for f (x)
(c) If formula you found in part (b) was not intended to represent percentage of copper in alloy of bronze, but instead simply defined the abstract mathematical function, find domain and range of the function?