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Let \(f(x) = \lfloor x \lfloor x \rfloor \rfloor\) for \(x \ge 0.\)

 

(a) Find all \(x \ge 0\) such that \(f(x) = 1.\)

 

(b) Find all \(x \ge 0\) such that \(f(x) = 3.\)

 

(c) Find all \(x \ge 0\) such that \(f(x) = 5.\)

 

(d) Find the number of possible values of \(f(x)\) for \(0 \le x \le 10.\)

 Aug 6, 2020
 #1
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These graphs should help you answer this:

 Aug 6, 2020

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