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.