From set of real numbers to set of real numbers- relations is given- 2y - 3x - 2 where x- y- generate the mapping diagram and identify whether it is a function or not- Answer in Yes- No-

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Standard VIII

Mathematics

Identifying Functions using Mapping Diagrams

From set of r...

Question

From set of real numbers to set of real numbers, relations is given: 2y = 3x - 2 where $x \in R, y \in R$ generate the mapping diagram and identify whether it is a function or not. Answer in Yes/ No.

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Solution

The given relation $R : R \to R$ is $2 y = 3 x - 2$
$\Rightarrow y = \frac{3}{2} x - 1$

This is a linear equation, hence for every value of $x$ , there would be diffrent value of $y$ .
As all the domain elements are mapped and associated to exactly one element of the range, this relation is a function.

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From set of real numbers to set of real numbers, relations is given: 2y = 3x - 2 where x∈R,y∈R generate the mapping diagram and identify whether it is a function or not. Answer in Yes/ No.

The given relation R:R→R is 2y=3x−2 ⇒y=32x−1 This is a linear equation, hence for every value of x, there would be diffrent value of y. As all the domain elements are mapped and associated to exactly one element of the range, this relation is a function.

From set of real numbers to set of real numbers, relations is given: 2y = 3x - 2 where $x \in R, y \in R$ generate the mapping diagram and identify whether it is a function or not. Answer in Yes/ No.