Consider A = {1, 2, 3}
B = {1, 8, 27}
f(x) = x^3
In ordered pairs, f = { (1,1), (2,8), (3,27) }
- Arrow diagram
A function can be represented as an arrow diagram also, in which the two sets A and
B are represented by two closed curves in which the elements of both the sets are
enclosed.
Two embossed diagrams depicting two sets of a function may be prepared and the
child be given to explore. Mapping of every element of the domain to the corresponding
element of the range may be shown with the aid of a small wooden strip or a string.
Eg. :
f : A→B and f(x) = x^2
- Graph
Draw the X and Y axes on a paper and plot the points (x, y) for every x ∈ A and
y ∈ B under f. The set of points that are marked on the plane is called the graph of the
function f.
The idea may be explained with the assistance of tactile rectangular coordinate system
prepared on a sheet of paper.
1
2
3
1
4
9
A B