Find the Range y=cos(2x)-1

Find the Range y=cos(2x)-1
Find the magnitude of the trig term by taking the absolute value of the coefficient.
Find the lower bound of the range.
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The lower bound of the range for cosine is found by substituting the negative magnitude of the coefficient into the equation.
Subtract from .
Find the upper bound of the range.
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The upper bound of the range for cosine is found by substituting the positive magnitude of the coefficient into the equation.
Subtract from .
The range is .
Interval Notation:
Set-Builder Notation:
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Name

Name one billion seven hundred eighty-four million one hundred thirty-eight thousand four hundred ten

Interesting facts

  • 1784138410 has 32 divisors, whose sum is 3261503232
  • The reverse of 1784138410 is 0148314871
  • Previous prime number is 71

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 37
  • Digital Root 1

Name

Name one billion seven hundred eighteen million five hundred forty-three thousand eight hundred thirty-six

Interesting facts

  • 1718543836 has 32 divisors, whose sum is 3929627520
  • The reverse of 1718543836 is 6383458171
  • Previous prime number is 7643

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 46
  • Digital Root 1

Name

Name four hundred seventeen million two hundred forty-six thousand two hundred sixty-eight

Interesting facts

  • 417246268 has 32 divisors, whose sum is 957404448
  • The reverse of 417246268 is 862642714
  • Previous prime number is 181

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 40
  • Digital Root 4