Which of the following could be the number shown on the number line?

Mathematics

1 answer:

lorasvet [3.4K]3 years ago

4 0

I think that may be a trick question because all the the numbers can be on the number line

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Which graph represents the function on the interval [-3,3] <br> F(x)=[x]-2

julia-pushkina [17]

<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 $[x]$ .

So, this function is defined as:

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

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 $y-intercept$ at $(0,0)$ and $x-intercept$ in the interval $[0,1)$
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.