Graph y=3- square root of x+1

Graph y=3- square root of x+1
Find the domain for so that a list of values can be picked to find a list of points, which will help graphing the radical.
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Set the radicand in greater than or equal to to find where the expression is defined.
Subtract from both sides of the inequality.
The domain is all values of that make the expression defined.
Interval Notation:
Set-Builder Notation:
Interval Notation:
Set-Builder Notation:
To find the radical expression end point, substitute the value , which is the least value in the domain, into .
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Replace the variable with in the expression.
Simplify the result.
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Simplify each term.
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Add and .
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
Multiply by .
Add and .
The final answer is .
The radical expression end point is .
Select a few values from the domain. It would be more useful to select the values so that they are next to the value of the radical expression end point.
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Substitute the value into . In this case, the point is .
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Replace the variable with in the expression.
Simplify the result.
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Simplify each term.
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Add and .
Any root of is .
Multiply by .
Subtract from .
The final answer is .
Substitute the value into . In this case, the point is .
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Replace the variable with in the expression.
Simplify the result.
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Add and .
The final answer is .
The square root can be graphed using the points around the vertex
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Name

Name one billion eight hundred thirty-four million five hundred forty-one thousand eight hundred forty-nine

Interesting facts

  • 1834541849 has 4 divisors, whose sum is 2096619264
  • The reverse of 1834541849 is 9481454381
  • Previous prime number is 7

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 47
  • Digital Root 2

Name

Name four hundred nineteen million six hundred one thousand five hundred forty-two

Interesting facts

  • 419601542 has 4 divisors, whose sum is 629402316
  • The reverse of 419601542 is 245106914
  • Previous prime number is 2

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 32
  • Digital Root 5

Name

Name nine hundred ninety-eight million eight hundred four thousand five

Interesting facts

  • 998804005 has 8 divisors, whose sum is 1198734624
  • The reverse of 998804005 is 500408899
  • Previous prime number is 14851

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 43
  • Digital Root 7