Example 1.2.5(c):
Let f(x) = x2 with domain and range being R. Find the
image of [0, 2] and the preimage of [1, 4].
If we draw the graph of the function, and shade the interval [0,2] on the
x axis in red, then its projection onto the y axis will be
the image (in green).
![](../graphics/image1.gif)
![](../graphics/image2.gif)
![](../../symbols/union.gif)