If y = f : A $\to$ B, then which of the following is true if f(x) is a function in x?

(i) x must be able to take each and every value of A.

(ii) one value of x must be related to one and only one value of y in set B.

Only (i)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Only (ii)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Both (i) and (ii)

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

None of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C
Both (i) and (ii)

Both (i) and (ii) are part of the definition of function. ((i) and (ii) together forms the definition of function).

Suggest Corrections

Similar questions

If y = f : A $\to$ B, then which of the following is true if f(x) is a function in x.

(i) x must be able to take each and every value of A

(ii) one value of x must be related to one and only one value of y in set B.

If y = f (x): A $\to$ B, then which of the following is true if f(x) is function in x.

(i) x must be able to take each and every value of A

(ii) one value of x must be related to one and only one value of y in set B.

If $y = f (x),$ where $f : A \to B$ is a function in $x,$ then which of the following statements is true?

(i) Every element of $A$ needs to have an image.

(ii) $x \in A$ must be related to one and only one value of $y$ of $B .$

Q. Let f : {x,y,z}

\to

{a,b,c} be a one-one function. It is known that only one of the following statment is true, and only one such function exists :

find the function f (as ordered pair).(i) f(x)

\neq

b
(i) f(y) = b

(ii) f(z)

\neq

Join BYJU'S Learning Program

If y = f : A → B, then which of the following is true if f(x) is a function in x? (i) x must be able to take each and every value of A. (ii) one value of x must be related to one and only one value of y in set B.

The correct option is C Both (i) and (ii) Both (i) and (ii) are part of the definition of function. ((i) and (ii) together forms the definition of function).

If y = f : A $\to$ B, then which of the following is true if f(x) is a function in x?

(i) x must be able to take each and every value of A.

(ii) one value of x must be related to one and only one value of y in set B.

The correct option is C
Both (i) and (ii)

Both (i) and (ii) are part of the definition of function. ((i) and (ii) together forms the definition of function).