Because this requires two different processes or pieces, the **absolute value function** is an example of a **piecewise function**. A **piecewise function** is a **function** in which more than one formula is used to define the output over different pieces of the domain.

In mathematics, the **absolute value** or modulus of a real number x, denoted |x|, is the non-negative **value** of x without regard to its sign. … The **absolute value** of a number may be thought of as its distance from zero. Generalisations of the **absolute value** for real **numbers** occur in a wide variety of mathematical settings.

## Q. What is meant by absolute number?

The **absolute value** of a **number means** the distance from 0. -5 is 5 units away from 0. So the **absolute value** of that -5 is 5. You cannot have negative distance, so it has to be positive.

## Q. What is the symbol used for absolute value?

The **symbol** for **absolute value** is a bar ∣ on each side of the number.

## Q. Why is absolute value a piecewise function?

A **step function** (or staircase **function**) is a **piecewise function** containing all constant “pieces”. The constant pieces are observed across the adjacent intervals of the **function**, as they change value from one interval to the next. A **step function** is discontinuous (not continuous).

## Q. How do we evaluate a function?

To **evaluate a function**, substitute the input (the given number or expression) for the **function’s** variable (place holder, x). Replace the x with the number or expression. 1. Given the **function** f (x) = 3x – 5, find f (4).

## Q. What does it mean to evaluate a function?

To **evaluate a function** is to: Replace (substitute) its variable with a given number or expression.

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