## Absolute Value Function

### f(x) = |x|

The absolute value function, denoted by |x|, is a mathematical function that returns the positive value of a given number, regardless of its original sign.

For example, the absolute value of 3 is 3, and the absolute value of -3 is also 3. The absolute value function essentially removes the negative sign of a number, if it exists, and returns the magnitude of the value.

The absolute value function can be graphed as a V-shaped curve that passes through the origin. The slope of the line on the right side of the origin is positive, while the slope of the line on the left side is negative.

One practical use of the absolute value function is in finding the distance between two points on a number line. For example, the absolute value of the difference between -3 and 5 is 8, indicating that the distance between these two points is 8 units.

In summary, the absolute value function is a mathematical function that returns the positive value of a given number, regardless of its original sign. It can be graphed as a V-shaped curve and has practical applications in finding distances on a number line.

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