Question

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

Explanation:

Step1: Recall Floor Function Definition

The floor function \( y = \lfloor x
floor \) 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 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