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If R1 = \left \{(x, y) | y = 2x + 7, where\: \: x \in R \: \: and - 5 \leq x \leq 5\right \} is a relation. Then find the domain and Range of R1.

Answers (1)

Given data: R1 = \left \{(x, y) / y = 2x + 7 \: \: where\: \: x \in R \and -5 \leq x \leq 5\right \}

Thus, domain of R1 will be  \left \{x: -5 \leq x \leq 5 = [-5,5] \right \}

Domain = \left \{-5,-4,-3,-2,-1,0,1,2,3,4,5\right \}

& y = 2x + 7

Thus, the values of y will be-

\left \{-3,-1,1,3,5,7,9,11,13,15,17\right \}

Thus, domain of R_1 = [-5,5]

& range of R_1 = [-3,17]

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