The Greatest Integer Function in Mathematics (Denoted F(x)=

question 183

Essay

The greatest integer function in mathematics (denoted f(x)=
)is used every day by cashiers making change for customers.This function tells the amount of paper money for each amount of change owed.(For example,if the customer is owed $1.25 in change,he would get $1 in paper money,thus
= 1).By considering
,
,
,
,and
,determine

.

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