Domain And Range Of A Modulus Function

For any values values of x the function will give defined values.

Domain and range of a modulus function. Rkguptaclasses you can also follow us on telegram https t me rkguptaclasses instagram. As the modulus function is understood as a non negative value therefore it can be said that the modulus of a variable is similar to. The graph defines the domain and range of modulus function i e. A function f is defined on mathbb r as follows.

This is in line with the piecewise definition of the modulus function. Last updated at july 12 2018 by teachoo. Start with the range of the basic absolute value function see discussion above and write x 0 multiply the two sides of the above inequality by 1 and change the symbol of inequality to obtain x 0 hence the range of x is also given by the interval. Learn all concepts of chapter 2 class 11 relations and function free.

So in the following tutorials i introduce you to this concept by looking at linear quadratic root and reciprocal functions. F x 1 x 2 solution. The domain r or real numbers range 0. In the following tutorial i continue by looking at square root and reciprocal functions.

Where the range of modulus function is the upper half of the real numbers r including 0. These can be slightly more demanding. Find the range of function f defined by f x x solution to example 1. Since we have absolute sign we must get only positive values by applying any positive and negative values for x in the given function.

This page contains notes on modulus function absolute value function topics are definition of modulus function properties graph domain range solved examples. Hence the domain is r. Domain all values of x r range all values of y since y will always be positive or 0 range all positive real numbers and 0 next. To do this we will need to sketch the graph of the equation and then determine how lo.

The range is clearly the set of all non negative real numbers or left 0 infty right. Since we can apply the modulus operation to any real number the domain of the modulus function is mathbb r. Find the domain and range of the following functions.