Question

greatest integer functions. Help!

Answer 1

#51

Answer 2

@SolomonZelman you free? :)

Answer 3

do you know how the greatest integer function is defined?

Answer 4

Mm I know what the graph of it looks like. But not quite sure how it's defined

Answer 5

http://mathbits.com/MathBits/TISection/PreCalculus/GraphGreatestIntFunction.html

the basic idea is that the input x could be any real number
the output is always a whole number (positive or negative). You round down to the nearest whole number

Answer 6

greatest integer function = floor function

Answer 7

think of the number line written vertically

Answer 8

if we plug in x = 1.7 then [[x]] = [[1.7]] = 1

we round down to the nearest whole number which in this case is 1