Question

The graph of an identity function IR : R->R is _____​
(A) Line (B) Finite points (C) Circle (D) Graph

Answer 1

$\textbf{Given:}$

$I:R->R\;\text{is an identity function}$

$\textbf{To find:}$

$\text{Graph of identity function}$

$\textbf{Solution:}$

$\textbf{Identity function:}$

$\text{A function f:A->B is said to be an identity function if f(x)=c for all x{\in}A }$

$\text{Since I:R->R is an identity function, we have}$

$I(x)=k\;\text{for all x{\in}R }$$\;\;\text{where k is a constant}$

$\text{It means that I(x) assumes fixed value k for all real values of x}$

$\text{That is, In graph, I(x) takes same y value for all real values of x}$

$\text{So Graphically I(x) represents a line parallel to x axis}$

$\therefore\textbf{Option (A) is correct}$

Answer 2

Answer:

Yes the option a is the correct one