Question

Range of the following function {(x, – | x| ) x ∈ R}

Answer 1

Step-by-step explanation:

11th

Maths

Relations and Functions

Introduction to Relations

The domain and range of rel...

MATHS

The domain and range of relation R={(x,y)∣x,y∈N, x+2y=5} is?

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ANSWER

The possible values of x which satisfies the given relation is the domain of the relation

The possible values of y which satisfies the given relation is the range of the relation

Given that x,y are natural numbers and the relation is x+2y=5

For x=1 , the value of y is 2

For x=3 , the value of y is 1

If x≥5, then y is negative which does not belong to naturals.

If x=2,4 then y becomes rational number which is not in naturals.

Thus, only 1 and 3 gives y as natural numbers 2 and 1.

Therefore, the domain is {1,3} and the range is {2,1}.