Interactive Real Analysis
- part of 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].
Back
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).
Back
imag([0, 2]) = [0, 4]
preimage([1, 4]) = [-2, -1]
[1, 2]