Identity Function

Q. The domain and range of an identity function is .

1. R (Real numbers)
2. N (Natural numbers)
3. Z (Integers)

Q.

Let R be a relation from N to N defined by
R = {(a, b):a, b ϵ N and a = b² }
Then which of the following is not true?

1. (a, b) ϵ R → (b, a) ϵ R

2. All of the above

3. (a, b) ϵ R, (b, c) ϵ R → (a, c) ϵ R

4. (a, a) ϵ R, for all a ϵ N

Q. what is the meaning of idempotent law what is phi identity and why it is called so ?

Q.

How many of the following statements are true about the identity function.

(a) It's graph is shown above.
(b) Domain is R
(c) Range is R
(d) Its an even function

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Q.

A relation R defined on the set A = {1, 2, 3, 5} as

{(x, y): x+y >10: x, y ∈ A }is

1. Zero relation

2. Universal relation

3. Identity relation

4. Empty relation

Q.

1. z

2. -z

3. -y

4. y

Q. If R is a relation from a set A to a set B and S is a relation from B to a set C, then the relation SoR

1. Is from A to C

2. Is from C to A

3. Does not exist

4. None of these

Q. The identity function is mathematically represented by the formula

1. $y=1$
2. $y=x^2$
3. $y=|x|$
4. $y=x$

Q.

Which of the following is the identity function?

1. $y=x^2$

2. $y=|x|$

3. $y=x$

4. $y=1$

Q.

Which of the following is the identity function?

1. $y=x^2$

2. $y=|x|$

3. $y=x$

4. $y=1$

Q.

How many of the following statements are true about the identity function.

(a) It's graph is shown above.
(b) Domain is R
(c) Range is R
(d) Its an even function

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Q.

How many of the following statements are true about the identity function?

(a) It's graph is shown above.
(b) Domain is R
(c) Range is R
(d) Its an even function

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