identify the domain and range of a functions through graphs.
draw the graph of modulus function and identify its domain and range.
recognize the composition of a function and then to find out the composition of two functions.
describe the inverse of a function and then to find out the inverse of composition of two functions.
recognize the algebraic and transcendental functions as well as the concepts of explicit, implicit and parametric functions.
display graphically the explicit, implicit and parametric functions as well as the compound functions.
introduce the limit of a function with respect to real number intervals on the real number line, the open and closed intervals and its location on a real number line.
explain the meaning of x tends to zero, x tends to a and x tends to infinity
define the limit of a sequence when the limit of a sequence with nth term is given.
define the limit of a function and the statement of theorems on limits of sum, difference, product and quotient of functions.
evaluate the limits of a function in case of some special functions.
evaluate the limit of algebraic, exponential and trigonometric functions.
introduce the continuous and discontinuous functions.
recognize the left hand and right hand limits through examples.
define the continuity of a function at a point and in an interval.
test the continuity and discontinuity of a function a point and in an interval.