<h2>Answer:</h2>
Shown below
<h2>Step-by-step explanation:</h2>The most famous of the step functions is the greatest integer function, which is denoted by the parent function .
So, this function is defined as:
.
These are the characteristics of this function:
- The domain of the function is the set of all real numbers.
- The range of the function is the set of all integers.
- The graph has a
at
and
in the interval
- The graph is constant between each pair of consecutive integers.
- The graph jumps vertically one unit at each integer value.
The function represents the parent function shifted 2 units downward. Therefore, the correct option has been chosen in the attached figure.