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xeze [42]
2 years ago
11

The graph of the function f(x)=V x+4 is shown below The domain of the function is

Mathematics
1 answer:
ladessa [460]2 years ago
3 0

Answer:

The function domain is:

{x|x ≥ -4}

Hence, option 4 is correct.

Step-by-step explanation:

Given the expression of the function

f\left(x\right)=\sqrt{x+4}

We know that the domain of the function is the set of input values for which the function is real and defined

We know that the value inside the radical expression must be greater than or equal to 0 so that the function remains defined.

so

x+4\ge \:0

subtract 4 from both sides

x+4-4\ge \:0-4

simplify

x\ge \:-4

Therefore, the function domain is:

{x|x ≥ -4}

Hence, option 4 is correct.

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What is the five number summary for this data set?
MrRa [10]

Answer:

see explanation

Step-by-step explanation:

The median is the middle value of the data set in ascending order. If there is no exact middle then the median is the average of the values either side of the middle.

Given

3   8   14   19   22   29   33   37   43   49

                            ↑ middle is between 22 and 29

median = \frac{22+29}{2} = \frac{51}{2} = 25.5

The upper quartile Q_{3} is the middle value of the data to the right of the median.

29   33   37   43   49

               ↑

Q_{3} = 37

The lower quartile Q_{1} is the middle value of the data to the left of the median.

3   8   14   19   22

           ↑

Q_{1} = 14

The min is the smallest value in the data set, that is 3

The max is the largest value in the data set, that is 49

The 5 number summary is

3,  14,  25.5,  37,  49

8 0
3 years ago
Which of the following are true statements? Select all that apply.
Gennadij [26K]

Since sine and cosecant are reciprocals, when one has a maximum the other has a minimum and vice versa.


That's choices B & D


Not sure what the question at the end is asking; at 90 degrees and also at -90 degrees the values of sine and cosecant are equal.



3 0
3 years ago
Read 2 more answers
What is the range of the function g(x)=4x−5 when the domain is {-1, 0, 2}?
Natalija [7]

Answer:

Step-by-step explanation:

D

4 0
3 years ago
Read 2 more answers
What is the mode of the following numbers?<br> 4,9,6, 3, 4,2
Alexxx [7]

Answer:

4

Step-by-step explanation:

Whichever number appears the most in the list of numbers which in this is 4

3 0
3 years ago
What is the volume of a cube shaped box with edges 6 cm. in length
Lesechka [4]
The answer is:  " 216 cm³ " .
_____________________________________________
<u><em>Note</em></u>:
_____________________________________________
   (6 cm)³ = (6 cm)*(6 cm)*(6 cm)  =  216 cm³ .
_____________________________________________
8 0
3 years ago
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