Question

nina graphs the function y=⌊x⌋ to learn the properties of the parent floor function. what is the value of y when x=5.7? 5 5.50 5.75 6

Explanation:

Step1: Recall Floor Function

The floor function \( \lfloor x
floor \) gives the greatest integer less than or equal to \( x \).

Step2: Apply to \( x = 5.7 \)

For \( x = 5.7 \), we find the greatest integer that is less than or equal to \( 5.7 \). The integers less than or equal to \( 5.7 \) are \( \dots, 3, 4, 5 \), and the greatest among them is \( 5 \). So \( \lfloor 5.7
floor = 5 \).

Answer:

A. 5