Verified Answer :

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.

JeanaShupp

Answer: 5

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 .

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