Absolute Value Function Examples With Domain And Range

Find the domain and range of a function with a table of values.

Absolute value function examples with domain and range. Start with the range of the basic absolute value. The range of a function is all the possible values of the dependent variable y. The example below shows two different ways that a function can be represented. Graph domain and range of absolute value functions.

Solution to example 1. All of these definitions require. The domain and range of a function is all the possible values of the independent variable x for which y is defined. From the above graph you can see that the range for x 2 green and 4x 2 25 red graph is positive.

Make a table of values on your graphing calculator see. A the y intercept is given by 0 f 0 0 2 0 2 the x coordinate of the x intercepts is equal to the solution of. F is a function given by f x x 2 find the x and y intercepts of the graph of f. It is the distance from 0 on the number line.

Sketch the graph of f. For example in the toolkit functions we introduced the absolute value function with a domain of all real numbers and a range of values greater than or equal to 0 absolute value can be defined as the magnitude or modulus of a real number value regardless of sign. Examples with detailed solutions. Examples of domain and range we now look at a few examples of domain and range for each type of function below linear absolute parabola hyperbolic cubic circle exponential top half of a circle top half of a parabola etc.

Find the domain and range of f. With a domain of all real numbers and a range of values greater than or equal to 0 the absolute value can be defined as the magnitude or modulus of a number a real number value regardless of sign the size of the number or the distance from 0 on the number line. You can take a good guess at this point that it is the set of all positive real numbers based on looking at the graph. In the toolkit functions we introduced the absolute value function f x x.

As a function table and as a set of coordinates. Using interval notation to state the domain and range of an absolute value function. In interval form the range of y ax b is given by 0 or by the inequality y 0 examples with solutions on how to find range of absolute value functions example 1 find the range of function f defined by f x x solution to example 1.