Define a relation R from R to R as follows:For all ( x ,

Chapter 1, Problem 6E

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QUESTION:

Define a relation R from R to R as follows: For all \((x, y) \in \mathbf{R} \times \mathbf{R}\),

                                             \((x, y) \in R\) means that \(y=x^{2}\).

a. Is \((2,4) \in R\)? Is \((4,2) \in R\)? Is (−3) R 9? Is 9 R (−3)?

b. Draw the graph of R in the Cartesian plane.

Text Transcription:

(x, y) in R times R

(x, y) in R

y=x^2

(2,4) in R

(4,2) in R

Questions & Answers

QUESTION:

Define a relation R from R to R as follows: For all \((x, y) \in \mathbf{R} \times \mathbf{R}\),

                                             \((x, y) \in R\) means that \(y=x^{2}\).

a. Is \((2,4) \in R\)? Is \((4,2) \in R\)? Is (−3) R 9? Is 9 R (−3)?

b. Draw the graph of R in the Cartesian plane.

Text Transcription:

(x, y) in R times R

(x, y) in R

y=x^2

(2,4) in R

(4,2) in R

ANSWER:

Solution:Step-1:a)In this problem we need to verify that Step-2:Given:Relation from R to R as f

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