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1/3 “Logarithms and other functions are like tools. Different tools have different purposes. Hammers are for pounding nails into wood; drills are for boring holes; saws are for cutting. Likewise, exponential functions are for modeling growth that feeds on itself,“
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2/3 ”and power functions are for modeling less violent forms of growth. Logarithms are useful for the same reason that staple removers are useful: they undo the action of another tool [exponential functions]." (Chapter 5)
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3/3 What a brilliant way to look at functions. I wonder if with students we can get even more specific: how is the 3x+1 tool different from the -3x+75 tool, for example. In calculus, how is sin(x) different from tan(x)? And what does this mean for e^x?
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#S2 #ipowersbc
