(1.2) Are the following functions metrics on X? Substantiate all your answers. (a) d(x, y) = |a2 – y²|, X = R (b) d(x, y) = |r3 – y|, X = R (c) d(x, y) = e"-y, X = R.

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(1.2) Are the following functions metrics on X? Substantiate all your answers.
(a) d(r, y) = |a2 – y2| , X = R
(b) d(x, y) = |a3 – y³|, X = R
(c) d(x, y) = e"-v, X = R.
Transcribed Image Text:(1.2) Are the following functions metrics on X? Substantiate all your answers. (a) d(r, y) = |a2 – y2| , X = R (b) d(x, y) = |a3 – y³|, X = R (c) d(x, y) = e"-v, X = R.
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