The relation f is defined by (FIG 1) The relation g is defined by(FIG 2).Show that f is a function and g is not a function.

FIG 1:

FIG 2:

SOLUTION:

The given connection f is characterized as:

It is seen that, for

   

,

   

   

Additionally, at

   

   

i.e., at

   

Henceforth, for

   

, the pictures of f(x) are one of a kind.

In this way, the given connection is a capacity.

Presently,

In the given connection g is characterized as

It is seen that, for

   

   

Subsequently, component 2 of the space of the connection g compares to two distinct pictures i.e., 4 and 6.

Hence, this connection isn’t a capacity.