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What is the domain and range of the step function below?


A. domain = {all real numbers}, range = {all real numbers}
B. domain = {all real numbers}, range = {...–4, –1, 2, 5, ...}
C. domain = {...–5, –2, 1, 2, ...}, range = {...–4, –1, 2, 5, ...}
D. domain = {all integers}, range = {all real numbers}

What is the domain and range of the step function below A domain all real numbers range all real numbers B domain all real numbers range 4 1 2 5 C domain 5 2 1 class=

Respuesta :

Answer:

Option B is correct.

Step-by-step explanation:

Since, the given graph is of greatest integer function

And it is clear from the property of greatest integer function that  range or value of y will always be an integer

given points in the graph are

(1,2),(4,5),(-2,-1) and (-5,-4)

Domain is the values x will take

And Range is the values of y

So, whatever value x will take due to greatest integer function it will convert to an integer

Example:

[0.5]=0

Domain will be all real numbers and range{...-4,-1,2,5....}

Hence, Option B is correct  

Answer:

Option: B

  • Domain:  {all real numbers}
  • Range: {......,-4,-1,2,5.......}

Step-by-step explanation:

As the x-xis is defined by a arrow sign on both sides it means that the x-axis is extending infinitely in both the directions.

The domain of a function is the set of values where a function is defined.

Hence from the graph we could see that the function is defined all over the real numbers as the function takes some integer values for all of the real numbers.

Domain={all real numbers}

Also Range of a function is the value that is attained by the function in the domain.

Hence, from the graph we could observe that the range of the function is:

Range={.......-4,-1,2,5,.........}

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