Â  Â  Â  Â
Â  Â  Â  Â  Â  Â

# Absolute Value Function

Absolute value is defined as the value which is equals to both positive value and negative value. Absolute value makes the negative number into a positive number. In absolute value both the real number and its negative have the same value.
e.g, |-4| = 4

Absolute Value Function can be considered as the distance of the value given from zero. It is a continuous function. This function increases as we move along the positive scale and decreases as we move along the negative scale. The symbol ‘|f ()|’ is used to define the absolute value function.

Example:
What is the absolute value of 2x+1 if the value of x is 7
f(x) = |2x + 1|
Substituting x = 7 the absolute value becomes,
f(7)
= |2(7) + 1|
= |14 + 1|
= |15|
= 15
If a graph of this absolute value function is made, then it is a positive quadrant graph because all values of absolute value function is lie between first and second quadrant.

Now we discuss steps of Graphing absolute value function:
1. First we put the given value into absolute value function.
2. After putting the value in absolute value function, we solve the arithmetic operation for the given value.
3. Then we find the absolute value of the function.
4. After evaluation of modulus values, now we apply following rules:
⇒ If x > 0, then f(x) > 0 and generated graph made a Point on first quadrant.
⇒ If x < 0, then f(x) > 0 and generated graph made a Point on second quadrant.

## Absolute Value Function Definition

In mathematics absolute value is defined as the value which is equals to both positive value and negative value. Let us say if absolute value of 4 is 4 then absolute value of -4 is also 4. We call absolute value as modulus. This absolute number is a real number. Absolute value can be used to calculate the distance of an object.

## Absolute Value Functions And Graphs

Absolute value is defined as the value which is equals to both positive value and negative value. Absolute value makes the negative number into a positive number. In absolute value both the real number ...Read More

## What is Absolute Value Function

Absolute values can be defined for the complex Numbers, ordered rings, fields and for vectors spaces. This is most often the positive value and closed to the Notations like magnitude, distances and norms etc. Module can be considered it's alternate.

Absolute value is defined as the value which is equals to both positive value and negative value. A...Read More