I.E.S. “Andrés de Vandelvira” Sección Europea
Mathematics
A continuous function is a function whose graph can be drawn without lifting the chalk from the blackboard, (or the pen from the notebook). Otherwise, the function is discontinuous. This is only an intuitive definition. 3.5
y
Continuous Function 3
2.5
2
1.5
1
0.5
x -3.5
-3
-2.5
-2
-1.5
-1
-0.5
0.5
1
1.5
2
2.5
3
3.5
-0.5
-1
-1.5
-2
-2.5
y 7
Discontinuous function 6
5
4
3
2
1
x -9
-8
-7
-6
-5
-4
-3
-2
-1
1
-1
-2
-3
-4
-5
-6
-7
8-8
2
3
4
5
6
7
8
9