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Cryptokyo TMUA Problem Set · Q17

TrigonometryFunctions & graphsNumber & counting

We define the floor function ⌊x⌋\lfloor x\rfloor to be equal to the largest integer less than or equal to xx, so that ⌊2⌋=2\lfloor2\rfloor=2 and ⌊103⌋=3\lfloor\frac{10}3\rfloor=3.

Which of the following is a graph of

f(x)=⌊x+12⌋sin⁡(πx+π2)?f(x)=\left\lfloor x+\frac12\right\rfloor\sin\left(\pi x+\frac\pi2\right)?

Diagram for question 17

AGraph 1
BGraph 2
CGraph 3
DGraph 4

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