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Gekata [30.6K]
3 years ago
11

What is the domain of the step function f(x) = ⌈2x⌉ – 1?

Mathematics
2 answers:
3241004551 [841]3 years ago
5 0
F(x) is defined for "all real numbers."
Damm [24]3 years ago
5 0
<h2>Answer:</h2>

The domain of the given step function is:

                       The set of all the real numbers.

<h2>Step-by-step explanation:</h2>

<u>Ceiling function--</u>

The ceiling function also known as the least integer function is the function which takes the largest value of the integer for a non-integer number which lie between the two integers , and gives the integer itself if the number is integer.

and it is given by:

f(x)=\left \lceil x \right \rceil

(

For example--

if x= 0.5

then f(x)=1  since x lie between 0 and 1

if x= -2.5

Then f(x)= -2

since x lie between -3 and -2.

if x=3

then f(x)=3  )

Also, the function is defined for all real values of x.

i.e. The domain of such a function is: All real numbers.

The function f(x) is given by:

f(x)=\left \lceil 2x \right \rceil-1

Hence, the domain is all the real numbers.

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