Consider functions f: {1,2,3} → {0, 1, 2, 3, 4, 5, 6, 7, 8}. a. How many of these functions are strictly increasing? Explain. (A function is strictly increasing provided if a ≤ b, then f(a) < f(b).) b. How many of the functions are non-decreasing? Explain. (A function is non-decreasing provided if a

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider functions ƒ : {1,2,3} → {0, 1, 2, 3, 4, 5, 6, 7, 8}.
a. How many of these functions are strictly increasing? Explain. (A function is strictly increasing provided if a <b, then f(a) < f(b).)
b. How many of the functions are non-decreasing? Explain. (A function is non-decreasing provided if a <b, then f(a) ≤ f(b).)
Transcribed Image Text:Consider functions ƒ : {1,2,3} → {0, 1, 2, 3, 4, 5, 6, 7, 8}. a. How many of these functions are strictly increasing? Explain. (A function is strictly increasing provided if a <b, then f(a) < f(b).) b. How many of the functions are non-decreasing? Explain. (A function is non-decreasing provided if a <b, then f(a) ≤ f(b).)
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