Domain And Range Of A Modulus Function

I am often asked what is the domain and range of a function.

Domain and range of a modulus function. So in the following tutorials i introduce you to this concept by looking at linear quadratic root and reciprocal functions. 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. Where the range of modulus function is the upper half of the real numbers r including 0.

In the following tutorial i continue by looking at square root and reciprocal functions. These can be slightly more demanding. For any values values of x the function will give defined values.

The domain r or real numbers range 0. The range is clearly the set of all non negative real numbers or left 0 infty right. 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.

Rkguptaclasses you can also follow us on telegram https t me rkguptaclasses instagram. F x 1 x 2 solution. This is in line with the piecewise definition of the modulus function.

Find the range of function f defined by f x x solution to example 1. 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. This page contains notes on modulus function absolute value function topics are definition of modulus function properties graph domain range solved examples.

So the range is 0. The graph defines the domain and range of modulus function i e. To do this we will need to sketch the graph of the equation and then determine how lo.