Consider the following function defined in parts:
Do the graphic representation. Find the domain and the image of the function.
See development and solution
Development:
A way of proceeding is to draw the graph of the function and then find the domain and the image.
We may realize that:
-
In the interval
we have a straight line of slope and that cuts the axis in . -
In the interval
, we have a constant function . - In the interval
we have a straight line of slope and that cuts the axis in .
Therefore the graph of the function is:
Thus it is clear that the domain of the function is:
and that its image is: