Define a signum function. Write range, also draw the graph of the function.

Define a surjective function.

Define an injective function.

Define a bijective function.

Define bijective function.

Define a functional group?

Define an identity function . Draw the graph of identify function and write Domain and Ranges ?

Define constant function.Draw the graph of constant function.Write the domain and range of the function.

Consider the following function f, whose graph is given below. Draw the graph of the following functions. (i) |f(x)| (ii) f(|x|) (iii) |f(|x|)-1|

Define a modulus function.If the function f:R rarr R is defined by f(x) =|x| ,draw the graph of the function .Write the domain and range of f.(R is the set of real numbers).

Consider the following function f whose graph is given below. Draw the graph of following functions. (a) f(x)+1