Question

✨✨WILL MAKE BRAINLIEST IF CORRECT !!✨✨Which equation matches the graph of the greatest integer function givenbelow?

Answer 1

The Greatest Integer Function Graph

The parent function of the greatest integer is:

$y=\lbrack x\rbrack$

It maps any real value of x to the nearest integer greater than x.

If x=0.5 or x=0.8, the function results in y=1

For x=1.1 or x=1.6 or x=1.9, the result is y=2

The function in the graph is similar to the parent function, but it's translated up by 3 units.

For example, if x=0.5, the function results in y=4, 3 more than its parent function.

Testing different values, we can conclude the required equation is:

$y=\lbrack x\rbrack+3$

Answer: D.