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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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Givers the linear sequence,<br> -2,7,X,Y, 2... Find the value of<br> Z.
Harrizon [31]

Answer:

Z = 34

Step-by-step explanation:

From the series, we have that:

a = -2

a + d = 7

Hence, -2 + d = 7

∴ d = 7 + 2 = 9

a + 2d = X; a + 3d = Y and a + 4d = Z

-2 + 4(9) = Z

∴ Z = 36 - 2 = 34

7 0
2 years ago
In order to test for the significance of a regression model involving 3 independent variables and 47 observations, the numerator
matrenka [14]

Answer:

The correct option is  C

Step-by-step explanation:

From the question we are told that

     The number of independent variables is  n =  3

     The number of observation is  z =  47

     

Since n is are independent variables then their degree of freedom is  3

   The  denominator(i.e z) degrees of freedom is evaluated as

            Df(z) =  z - (n +1)

          Df(z) =  47 - (3 +1)

          Df(z) =  43

So for the numerator (n) the degree of freedom is  Df(n) = 3

So for the denominator(i.e z) the degree of freedom is  Df(z) = 43

4 0
3 years ago
9/8 divided by 3/8<br><br> 3/5 divided by 2/3
suter [353]
9/8 divided by 3/8 is 3 (because of the same denominator look at the first number)

3/5 divided by 2/3 is 0.9 hope this helps
8 0
2 years ago
May someone please help me?
kvv77 [185]

Answer:

the answer is ac line segment

6 0
3 years ago
Read 2 more answers
Find the inverse of the function r(t)=5t.
Sveta_85 [38]

Answer:

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Step-by-step explanation:

.-.

7 0
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