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BartSMP [9]
2 years ago
12

Determine the domain and range of the given function.

Mathematics
2 answers:
Nina [5.8K]2 years ago
4 0

Using function concepts, it is found that:

  • The domain of the function is <u>all real numbers</u>.
  • The range of the function is <u>all real numbers greater than or equal to -2.</u>

The domain of a function is the <u>set that contains all possible input values</u>. In a graph, it is the values assumed by the <u>x-axis</u>.

  • In this graph, x assumes all values from negative infinity to positive infinity, thus the domain is all real numbers.

The range of a function is the <u>set that contains all possible input values</u>. In a graph, it is the values assumed by the <u>y-axis</u>.

  • In this graph, y assumes values from -2 to positive infinity, thus the range is all real numbers greater than or equal to -2<u>.</u>

A similar problem is given at brainly.com/question/2145599

myrzilka [38]2 years ago
3 0

<em> </em><em>here </em><em>is </em><em>your</em><em> answer</em><em> </em><em>refer</em><em> to</em><em> the</em><em> attachment</em>

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drek231 [11]

Answer:

Height of the pole = 9.17 chi.

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Step-by-step explanation:

Given that the rope is hanging from the top of a pole having height x chi and the portion of the rope lying on the ground is 3 chi.

So, the length of the rope= x + 3 chi.

Let AB represents the pole in the figure, and one end of the rope is at point A.

When the rope is tightly stretched, let C be the other end of the rope as shown in the triangle.

The length of the rope = AC.

\Rightarrow AC=x+3 chi.

Distance from the bottom of the pole, point A, to the other end of the pole, point B, is 8 chi.

So, BC=8 chi.

As the triangle ABC is a right-angled triangle, so by using Pythagoras theorem,

AC^2= AB^2+BC^2

\Rightarrow (x+3)^2=x^2+8^2

\Rightarrow x^2+6x+9=x^2+64

\Rightarrow 6x=64-9=55

\Rightarrow x=55/6=9.17 chi.

Hence, the height of the pole, AB=x=9.17 chi,

and the length of the rope, x+3=9.17+3=12.17 chi.

8 0
3 years ago
Which decimal is between 85 and V86?
Romashka-Z-Leto [24]

\sf \large \underbrace{ \underline{Understanding  \: the  \: Question}}

This can be considered as a very easy Question where you have to find the value of √85 and √86 upto 2 decimal places then we could find it easily.

Let's start!

Value of √85=9.21

Value of √86=9.27

Now it is obvious that 9.25 lies between √85 and √86.

\sf \large \underbrace{ \underline{Additional \:  information}}

What are rational no.?

Any pair of numbers which is in the form of p/q where p and q are integers and p and q are co-prime is called rational number.

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Otrada [13]

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Naily [24]

Answer:

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Step-by-step explanation:

Answer:

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