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 $\lfloor x
floor$ gives the greatest integer less than or equal to $x$.

Step2: Apply to \( x = 5.7 \)

For \( x = 5.7 \), the greatest integer less than or equal to \( 5.7 \) is \( 5 \), since \( 5 \leq 5.7 < 6 \).

Answer:

A. 5