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If $R_1=\{(x, y) \mid y=2 x+7$, where $x \in R$ and $-5 \leq x \leq 5\}$ is a relation. Then, find the domain and range of $\mathrm{R}_1$.
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Given, $R_1=\{x, y) \mid y=2 x+7$, where $x \in R$
Domin of $R_1=\{-5 \leq x \leq 5, x \in R\}=[-5,5]$
Since $y=2 x+7$
When $x=-5$, then, $y=2(-5)+7=-3$
When $x=5$, then, $y=2(5)+7=17$
$\therefore$ Range of $R_1=\{-3 \leq y \leq 17, y \in R\}=[-3,17]$
Domin of $R_1=\{-5 \leq x \leq 5, x \in R\}=[-5,5]$
Since $y=2 x+7$
When $x=-5$, then, $y=2(-5)+7=-3$
When $x=5$, then, $y=2(5)+7=17$
$\therefore$ Range of $R_1=\{-3 \leq y \leq 17, y \in R\}=[-3,17]$
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