Question

Which graph represents the function of the interval [-3,3] F(x)= [x]-2

Answer 1

Answer:

Shown below

Step-by-step explanation:

In mathematics, the most famous of the step functions is the greatest integer function and this is denoted by the parent function:

$f(x)=[x] \ the \ greatest \ integer \ less \ than \ or \ equal \ to \ x$

We can write some properties of this function as follows:

• 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 $f(x)=[x]-2$ represents the parent function shifted 2 units downward. Therefore, the correct option has been chosen in the attached figure.