# Graph y=|x|

Graph y=|x|
Find the absolute value vertex. In this case, the vertex for is .
To find the coordinate of the vertex, set the inside of the absolute value equal to . In this case, .
Replace the variable with in the expression.
The absolute value is the distance between a number and zero. The distance between and is .
The absolute value vertex is .
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:
For each value, there is one value. Select few values from the domain. It would be more useful to select the values so that they are around the value of the absolute value vertex.
Substitute the value into . In this case, the point is .
Replace the variable with in the expression.
Simplify the result.
The absolute value is the distance between a number and zero. The distance between and is .
Substitute the value into . In this case, the point is .
Replace the variable with in the expression.
Simplify the result.
The absolute value is the distance between a number and zero. The distance between and is .
Substitute the value into . In this case, the point is .
Replace the variable with in the expression.
Simplify the result.
The absolute value is the distance between a number and zero. The distance between and is .
The absolute value can be graphed using the points around the vertex
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### Name

Name one billion eight hundred four million eight hundred fifty-four thousand one hundred sixty-nine

### Interesting facts

• 1804854169 has 4 divisors, whose sum is 1805518260
• The reverse of 1804854169 is 9614584081
• Previous prime number is 2729

### Basic properties

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

### Name

Name seven hundred sixty-two million nine hundred forty-four thousand nine hundred nineteen

### Interesting facts

• 762944919 has 8 divisors, whose sum is 788000320
• The reverse of 762944919 is 919449267
• Previous prime number is 409

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 51
• Digital Root 6

### Name

Name one billion nine hundred sixty-two million four hundred nineteen thousand one hundred ninety-four

### Interesting facts

• 1962419194 has 8 divisors, whose sum is 2944303488
• The reverse of 1962419194 is 4919142691
• Previous prime number is 4451

### Basic properties

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