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One thing I do when introducing functions is to draw a blob (set) on the left and a blob (set) on the right. Put some points in each with labels (at first arbitrary symbols, later numbers). Call the left the "Domain", the right the "Range" (*) and say that a function tells us where elements in the domain go to in the range. I'll illustrate this by drawing an ...


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Defining a function as a set of pairs is a lot more accessible than it might seem. Think of a directory in a building, which lists people's names and the room number of each person's office. (Assume everyone's name is different, but people might share an office.) The directory spells out an assignment, $d$, of names to numbers. Name $x$ is presented next ...


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I wouldn't necessarily call them "trap" questions, but I wouldn't be surprised if a vocabulary quiz on middle/high school math could be difficult or low scoring. Ask students to define or to give examples for "degenerate triangle", "extraneous solution", "rational number", "principle square root", "inverse function", "quotient", "numerator", etc. Even ...


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