Consider functions f: {1, 2, 3, 4, 5, 6, 7} → {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. a. How many of these functions are strictly increasing? Explain. (A function is strictly increasing provided if a

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Consider functions f: {1, 2, 3, 4, 5, 6, 7} {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
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).)
FI
Transcribed Image Text:Consider functions f: {1, 2, 3, 4, 5, 6, 7} {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. 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).) FI
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