| DOMAIN | PORTION OF X AXIS COVERED BY THE GRAPH |
| RANGE | PORTION OF Y AXIS COVERED BY THE GRAPH |
| ROOT | ROOT OF F(X) ID THE ABSCISSA OF THE POINT WHERE GRAPH OF F(X) CUTS THE X AXIS |
| ASYMTOTE | LINE WHICH APPEARS TO BE TANGENT AT INFINITY |
| INCREASING FUNC. | Y INCREASES WITH INC OF X |
| DECREASING FUNC. | Y DECREAASES WITH INCREASE OF X |
| MAXIMA AND MINIMA | MAXIMA AND MINIMA OF A FUNC ARE THE LARGEST AND SMALLEST VALUES OF A FUNCTION.
EITHER within a given range - LOCAL MAXIMA/MINIMA
OR
in the entire domain - GLOBAL MAXIMA/ MINIMA |
| BOUNDED FUNCTION | IF we can draw two horizontal lines, alpha and beta such that the graph always lies between these two lines, then graph is called BOUNDED |
| least value of beta in bounded function is called | UPPER BOUND |
| MAXIMUM value of alpha in bounded func is called | lower bound |
| UNBOUNDED GRAPHS | graphs which are not bounded |
| SEMI Bounded graph types | only upper bounded
only lower bounded |
| EVEN FUNCTION | f(x)= f(-x) for all x belonging to domain
graphs of even functions are SYMMETRICAL about y axis |
| ODD FUNCTION | f(x)= -f(x) for all x belonging to domain
graphs of odd functions are SYMMETRICAL about origin, that is, opposite quadrants |
| PERIODIC FUNCTION | ALL THE FEATURES are repeated after certain intervals |
