The Absolute Value Function: Definition, Graphing, And Applications

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.

More Answers:
Exponential Functions: Properties, Modeling, And Applications
Mastering The Square Root Function: A Step-By-Step Guide For Calculating Non-Negative Real Numbers
Modeling Growth And Decay: The Logistic Function In Math

Error 403 The request cannot be completed because you have exceeded your quota. : quotaExceeded

Share:

Recent Posts

Mathematics in Cancer Treatment

How Mathematics is Transforming Cancer Treatment Mathematics plays an increasingly vital role in the fight against cancer mesothelioma. From optimizing drug delivery systems to personalizing

Read More »