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Given R = {(x, x^(3)), is a prime number...

Given `R = {(x, x^(3))`, is a prime number less than 10}. Find the domain and range of R.

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To find the domain and range of the relation \( R = \{(x, x^3) \mid x \text{ is a prime number less than 10}\} \), we will follow these steps: ### Step 1: Identify the prime numbers less than 10 The prime numbers less than 10 are: - 2 - 3 - 5 - 7 ...
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AAKASH INSTITUTE ENGLISH-RELATIONS AND FUNCTIONS -Try Yourself
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  2. Define a relation R on the set N of all natural numbers by R = {(x, y)...

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  3. Given R = {(x, x^(3)), is a prime number less than 10}. Find the domai...

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  5. Given A = {p, q}. List all the relations on A.

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  6. Given A = {-7, 7}. List all the relations on A.

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  7. Let A = {x, y, z} , B = {3, 5}. Find the number of relations from A to...

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  8. Let A = {a(1), b(1), c(1)} , B = {r, t}. Find the number of relations ...

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  9. Let A={3,5}a n d\ B={7, 11}dot Let R={(a , b): a in A ,\ b in b ,\ a...

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  10. Let A = {3,5}, B = {7,1}. Let R = {(a,b): ainA, binB, a-b is even}. ...

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  11. Let f : R − { − 3, 5 } → R be a function defined as f ( x ) = (2x)/...

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  12. Let f : R → R be a function defined by f ( x ) = 2 x − 5 ∀ x ∈ R . ...

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  13. In the given function, find the co-domain and range

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  14. In the given function, find the domain, co-domain and range.

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  15. Let f : N rarr N and given by f(x) = x + 6. Find f(1), f(3), f(7).

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  16. A function f is defined by f(x) = x^(2) + 1. Find f(0), f(5), f(10).

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  19. Find the domain of definition of the function f(x) = sqrt(x^(2) - 5x +...

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