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 four million six hundred forty-nine thousand six hundred thirty-three

Interesting facts

  • 1304649633 has 8 divisors, whose sum is 1988037568
  • The reverse of 1304649633 is 3369464031
  • Previous prime number is 7

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 39
  • Digital Root 3

Name

Name one billion three hundred five million two hundred ninety-one thousand one hundred ninety-four

Interesting facts

  • 1305291194 has 8 divisors, whose sum is 1958305440
  • The reverse of 1305291194 is 4911925031
  • Previous prime number is 5563

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 35
  • Digital Root 8

Name

Name two hundred sixty-five million six hundred thirty-seven thousand nine hundred forty-five

Interesting facts

  • 265637945 has 8 divisors, whose sum is 320905800
  • The reverse of 265637945 is 549736562
  • Previous prime number is 149

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 47
  • Digital Root 2