Let f(x) = [x2/3]. Find f(S) if

Chapter 1, Problem 31E

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QUESTION:

Let \(f(x)=\left\lfloor x^{2} / 3\right\rfloor\). Find \(f(S)\) if

a) \(S=\{-2,-1,0,1,2,3\}\).

b) \(S=\{0,1,2,3,4,5\}\).

c) \(S=\{1,5,7,11\}\).

d) \(S=\{2,6,10,14\}\).

Equation Transcription:



.

Text Transcription:

f(x)=⌊x^2/3⌋  

f(S)  

S={−2,−1,0,1,2,3}  

S={0,1,2,3,4,5}  

S={1,5,7,11}  

S={2,6,10,14}

Questions & Answers

QUESTION:

Let \(f(x)=\left\lfloor x^{2} / 3\right\rfloor\). Find \(f(S)\) if

a) \(S=\{-2,-1,0,1,2,3\}\).

b) \(S=\{0,1,2,3,4,5\}\).

c) \(S=\{1,5,7,11\}\).

d) \(S=\{2,6,10,14\}\).

Equation Transcription:



.

Text Transcription:

f(x)=⌊x^2/3⌋  

f(S)  

S={−2,−1,0,1,2,3}  

S={0,1,2,3,4,5}  

S={1,5,7,11}  

S={2,6,10,14}

ANSWER:

SOLUTION

Step 1

Given

We have to find  for the following cases.

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