MAT102H5 Study Guide - Quiz Guide: Asteroid Family
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MAT102H5 Full Course Notes
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A page 2 of ? (1) for each statement below, decide whether it is true or false. Justify your answer. (a) (a \ b c) b for any sets a, b. If y a \ b c, then y a and y 6 b c, which implies y b. Therefore a \ b c b. (b) the function f : r \ {0} r given by. |x| x has image (i. e. range) [ 1, 1]. We can write f as f (x) = So the range of f is { 1, 1}. *alternatively, we can show that the range is not equal to [ 1, 1] by nding a number in [ 1, 1] that is not output by f . For example, 0 [ 1, 1] but 0 6 range of f , since. A = [ 1, 2] and b = [1, 3], (a b) \ (b a) as a subset of the plane r2.
