Domain And Range Transformations

The example below shows two different ways that a function can be represented.

Domain and range transformations. Lesson 22 domain and range of a transformation 1 when a function is transformed its domain and or range will change. The range of a function is all the possible values of the dependent variable y. But in fact they are very important in defining a function.

As a function table and as a set of coordinates. The domain and range of a function is all the possible values of the independent variable x for which y is defined. The domain is all the x values and the range is all the y values to give the domain and the range i just list the values without duplication.

If only the inputs are transformed then only the domain will change. If both the inputs and outputs are transformed then both the domain and range will change. The above list of points being a relationship between certain x s and certain y s is a relation.

While the original square root function has domain left 0 infty right and range left 0 infty right the vertical reflection gives the v t function the range left infty 0 right and the horizontal reflection gives the h t function. If only the outputs are transformed then only the range will change.