To find the <math><mstyle displaystyle="true"><mi>x</mi></mstyle></math> coordinate of the vertex, set the inside of the absolute value <math><mstyle displaystyle="true"></mstyle></math> equal to <math><mstyle displaystyle="true"><mn>0</mn></mstyle></math> . In this case, <math><mstyle displaystyle="true"><mo>=</mo><mn>0</mn></mstyle></math> .

Since there is no variable to replace, the result is <math><mstyle displaystyle="true"><mn>1.04114892</mn></mstyle></math> .

The absolute value vertex is <math><mstyle displaystyle="true"><mrow><mo>(</mo><mn>0</mn><mo>,</mo><mn>1.04114892</mn><mo>)</mo></mrow></mstyle></math> .

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

Set-Builder Notation:

Substitute the <math><mstyle displaystyle="true"><mi>x</mi></mstyle></math> value <math><mstyle displaystyle="true"><mo>-</mo><mn>2</mn></mstyle></math> into <math><mstyle displaystyle="true"><mi>y</mi><mo>=</mo><mn>1.04114892</mn></mstyle></math> . In this case, the point is <math><mstyle displaystyle="true"><mrow><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>1.04114892</mn><mo>)</mo></mrow></mstyle></math> .

Replace the variable <math><mstyle displaystyle="true"><mi>y</mi></mstyle></math> with <math><mstyle displaystyle="true"><mo>-</mo><mn>2</mn></mstyle></math> in the expression.

The final answer is <math><mstyle displaystyle="true"><mn>1.04114892</mn></mstyle></math> .

The absolute value can be graphed using the points around the vertex <math><mstyle displaystyle="true"><mrow><mo>(</mo><mn>0</mn><mo>,</mo><mn>1.04114892</mn><mo>)</mo></mrow><mo>,</mo><mrow><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>1.04</mn><mo>)</mo></mrow><mo>,</mo><mrow><mo>(</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1.04</mn><mo>)</mo></mrow><mo>,</mo><mrow><mo>(</mo><mn>1</mn><mo>,</mo><mn>1.04</mn><mo>)</mo></mrow><mo>,</mo><mrow><mo>(</mo><mn>2</mn><mo>,</mo><mn>1.04</mn><mo>)</mo></mrow></mstyle></math>

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Name | three hundred forty-eight million eight hundred thirty-six thousand seven hundred eighteen |
---|

- 348836718 has 16 divisors, whose sum is
**699654096** - The reverse of 348836718 is
**817638843** - Previous prime number is
**353**

- Is Prime? no
- Number parity even
- Number length 9
- Sum of Digits 48
- Digital Root 3

Name | seven hundred sixty-four million three hundred eighty-two thousand four hundred twenty-one |
---|

- 764382421 has 8 divisors, whose sum is
**835111584** - The reverse of 764382421 is
**124283467** - Previous prime number is
**677**

- Is Prime? no
- Number parity odd
- Number length 9
- Sum of Digits 37
- Digital Root 1

Name | one billion four hundred fifty-five million seventy-three thousand eight hundred ten |
---|

- 1455073810 has 8 divisors, whose sum is
**2619132876** - The reverse of 1455073810 is
**0183705541** - Previous prime number is
**5**

- Is Prime? no
- Number parity even
- Number length 10
- Sum of Digits 34
- Digital Root 7