Question

An example for a function which is a relation, (Domain-R, Codomain-R) is:

• A. $y=x$
• B. $y=x-1$
• C. $y=x^2$
• D. none of these

Answer 1

Answer: (A), (B), (C)

The correct options are
A $y=x$
B $y=x-1$
C $y=x^2$

Every function is a relation when each input has only one out put . It means each value of set $A$ has a value of set $B$ , for a function $f:A\to B$

Consider a function $y=x^2$ , as shown in attachment now, draw a vertical line you see line cut it only one point , means for a value of $x,y$ has unique . Hence,$y=x^2$ is a function . And we know every function is the relation so, $y=x^2$ is relation.

Similarly we can observe in case of $y=x$ and $y=x-1$ both are relations.