. If R1 = {(x, y)| y = 2x + 7, where x∈ R and -5 ≤ x ≤ 5} is a relation. Then find the domain and range of R1.

. If R1 = {(x, y)| y = 2x + 7, where x∈ R and -5 ≤ x ≤ 5} is a relation. Then find the domain and range of R1.

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  1. Answer:

    Domain is [-5, 5]

    Range is [-3, 17]

    Step-by-step explanation:

    R1 = {(x, y)| y = 2x + 7, where x∈ R and -5 ≤ x ≤ 5}

    The domain is given by the all possible input values of x . Here the function is defined for -5 ≤ x ≤ 5, so the domain is [ – 5, 5].

    The range is given by the output values  of he function.

    When x = – 5

    f (- 5) = 2 (-5 ) + 7 = – 3

    When x = 5

    f (5) = 2 (5) + 7 = 17

    So, the range is [ -3 , 17].

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