Question

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

Find the value of y when x =5.7

Answer 1

Answer: 5

Step-by-step explanation:

Given: Nina graphs the function
`y=\left \lfloor{x}\right \rfloor` to learn the properties of the parent floor function.

• The floor function
  `\left \lfloor{x}\right \rfloor` which is also known as the greatest integer function denotes the greatest integer less than or equal to x .

If the value of x = 5.7

Then, the
`y=\left \lfloor{5.7}\right \rfloor=5`, since 5 is the greatest integer less than or equal to 5.7 .

Answer 2

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.