Domain Of Absolute Value Function

This video provides an example of how to determine the domain of an absolute value function.

Domain of absolute value function. It is also a piecewise function. Most graphing calculators will help you see a function s domain or indicate which values might not be allowed.

Properties of the graph of these functions such as domain range x and y intercepts are also discussed. Except when i am zero. The domain of f above is the set of all values of x in the interval as x takes values from to x takes all values from 0 to infinity and in general absolute value function of the form y ax b has a range given by the interval ax b 0 see graphs below fig1.

Its domain is the real numbers. This is the absolute value function. So let s look at our function.

Every function will have a domain all x values and a range all y values. Your domains should always look like this negative infinity to positive infinity this will go on forever. If you don t have a graphing calculator try this free online.

The domain of a function is the complete set of possible values of the independent variable in other words the set of possible 𝑥 values that make the function work and will output real 𝑦 values. Domain and range of absolute value function. Square functions and absolute value functions have a domain of all real numbers and a range of y 0.

Graph domain and range of absolute value functions. Its range is the non negative real numbers. In determining domains and ranges we would like to think about what is physically possible or meaningful in real world examples like ticket sales and year in the horror movie example above.