Table of Contents

## What is the domain of X Mod X?

Solution : For any values values of x, the function will give defined values. It will never become undefined. So, domain is all real values that is R.

### What is domain of modulus function?

Modulus function The domain of the function is R. The graph of modulus function is continuous having a corner at x=0. It means that graph is differentiable at all points except at x=0 (we can not draw a tangent at a corner).

**What is the domain of 1 Mod X?**

f(x) is defined for any real number. So, domain of f is R. For x being a real number, |x – 1| is greater than or equal to zero.

**What is the domain and range of X X?**

The domain is part of the definition of a function. For example, the domain of the function f(x)=√x f ( x ) = x is x≥0 x ≥ 0 . The range of a function is the set of results, solutions, or ‘ output ‘ values (y) to the equation for a given input. By definition, a function only has one result for each domain.

## What is the range of the function with the domain (X)?

Hence, both its domain and range should be real numbers Hence, value of domain (x) should be minimum -3 and maximum 3 Hence, Domain = [–3,3] Similarly, value of range (f(x)) will be minimum 0 and will be maximum 3 Hence, Range = [0,3]

### How do you find the domain and range of modulus functions?

Similarly for x < 0, the graph is a line where y = -x. Here both the graph lines hold true the definition of modulus functions. The graph defines the domain and range of modulus function, i.e. Range = 0, ∞ ; where the range of modulus function is the upper half of the Real numbers (R+), including 0.

**What is the modulus of the function f(x)?**

And |x| states modulus or mod of x. If x is positive then the output of the function f (x) will be x only. But if x is negative, then the output of x will be the magnitude of x. Hence, we can redefine the modulus function as:

**Does x belong to a set of numbers?**

Given f (x)=mod x, then x belongs to a set of numbers except the irrational numbers. In case of positive x it is strait. In case of negative x it is positive value only. But in case the irrational number x do not have definite value.