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14 March, 21:49

If K = (x, y), find the corresponding range of y for the domain {0, 2, 4}. {-5, - 3, - 1} {0, 2, 4} {5, 7, 9}

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  1. 14 March, 22:02
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    The range = {-5, - 3, - 1} ⇒ first answer

    Step-by-step explanation:

    * In any equation the values of x are the domain of it and

    the values of y are the range of it

    * So to find the range of any equation substitute the values

    of x (domain) in the equation to get the corresponding

    values of y (range)

    * In the problem

    ∵ K = { (x, y) : x - y = 5}

    ∵ The domain is {0, 2, 4}

    * Lets find K (0), K (2), K (4)

    ∵ K (0) = (0) - y = 5

    ∴ - y = 5 ⇒ Multiply both sides by - 1

    ∴ y = - 5

    ∵ K (2) = (2) - y = 5

    ∴ 2 - y = 5 ⇒ subtract 2 from both sides

    ∴ - y = 3 ⇒ Multiply both sides by - 1

    ∴ y = - 3

    ∵ K (4) = (4) - y = 5

    ∴ 4 - y = 5 ⇒ subtract 4 from both sides

    ∴ - y = 1 ⇒ Multiply both sides by - 1

    ∴ y = - 1

    * The range = {-5, - 3, - 1}
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