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LUCKY_DIMON [66]
2 years ago
5

For each graphically defined function below, state the domain, the range, and the intervals on which the function is increasing,

decreasing, or constant.
Domain:
Range:
Increasing:
Decreasing:
Constant Intervals?

Mathematics
1 answer:
olga55 [171]2 years ago
7 0

Answer:

See below ~

Step-by-step explanation:

Domain : range of x -values

  • Minimum = -2
  • Maximum = 3
  • Domain = [-2, 3]

Range : possible y-values

  • Maximum point is 2
  • Minimum point is -2
  • Range = [-2, 2]

Increasing :

  • [-2, 0]

Decreasing :

  • x = [0, 3]

Constant :

  • None
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Which number produces an irrational number when added to 0.4
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0.31311311131111....

Step-by-step explanation:

We need to tell a number which when adds to 0.4 makes it a Irrational Number . We know that ,

<u>Rational</u><u> number</u><u> </u><u>:</u><u>-</u> The number in the form of p/q where p and q are integers and q is not equal to zero is called a Rational number .

<u>Irrational</u><u> number</u><u> </u><u>:</u><u>-</u> Non terminating and non repeating decimals are called irrational number .

Recall the property that :-

<u>Property</u><u> </u><u>:</u><u>-</u><u> </u> Sum of a Rational Number and a Irrational number is Irrational .

So basically here we can add any Irrational number to 0.4 to make it Irrational . One Irrational number is ,

\rm\implies Irrational\ Number = 0.31311311131111...

So when we add this to 0.4 , the result will be Irrational . That is ,

\rm\implies 0.4 + 0.31311311131111 ... = 0.731311311131111 ..

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