Graph f(x) = log of 12-x

Graph f(x) = log of 12-x
Find the asymptotes.
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Set the argument of the logarithm equal to zero.
Solve for .
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Subtract from both sides of the equation.
Multiply each term in by
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Multiply each term in by .
Multiply .
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Multiply by .
Multiply by .
Multiply by .
The vertical asymptote occurs at .
Vertical Asymptote:
Vertical Asymptote:
Find the point at .
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Replace the variable with in the expression.
Simplify the result.
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Multiply by .
Subtract from .
Logarithm base of is .
The final answer is .
Convert to decimal.
Find the point at .
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Replace the variable with in the expression.
Simplify the result.
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Multiply by .
Subtract from .
The final answer is .
Convert to decimal.
Find the point at .
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Replace the variable with in the expression.
Simplify the result.
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Multiply by .
Subtract from .
The final answer is .
Convert to decimal.
The log function can be graphed using the vertical asymptote at and the points .
Vertical Asymptote:
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Name

Name one billion three hundred sixty-nine million seven hundred eleven thousand four hundred thirty-six

Interesting facts

  • 1369711436 has 64 divisors, whose sum is 3304294560
  • The reverse of 1369711436 is 6341179631
  • Previous prime number is 53

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 41
  • Digital Root 5

Name

Name one billion four million seven hundred fifty-two thousand five hundred sixty-eight

Interesting facts

  • 1004752568 has 16 divisors, whose sum is 3391039944
  • The reverse of 1004752568 is 8652574001
  • Previous prime number is 2

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 38
  • Digital Root 2

Name

Name one billion three hundred fifty-three million one hundred sixty-nine thousand eight hundred eighty-three

Interesting facts

  • 1353169883 has 16 divisors, whose sum is 1499856960
  • The reverse of 1353169883 is 3889613531
  • Previous prime number is 37

Basic properties

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