Nina graphs the function y = ⌊x⌋ to learn the properties of the parent floor function.

Find the value of y when x = 5.7

By definition, the integer part of a number x is the greatest integer which is less than or equal to the integer x. Its notation is [x], for example, [2.3] = 2, and [ - 2.3] = - 3. in our case we have y = [x], obviously, when x = 5.7, the floor function is y = [5.7] = 5

X is the greatest integer. Now the integer is either equal to or less than the integer which is x. [ x ] is the notation. We are given that,

y = [ x ] whereby, x = 5.7.

Therefore, y is the floor function where y = [ 5.7 ] = 5

y = 5.