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14 September, 09:26

Match each given domain of the function f (x) = x/2.5 with its corresponding range.

{40,45,50,55,60} {52,56,63,67,71} {37,46,49,55,57} {44,51,59,66,73}

Range:

{20.8,22.4,25.2,26.8,28.4}

{16,18,20,22,24}

{17.6,20.4,23.6,26.4,29.2,}

{14.8,18.4,19.6,22,22.8}

Domain:

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Answers (1)
  1. 14 September, 09:28
    0
    Domain: {40,45,50,55,60} = > Range: {16,18,20,22,24}

    Domain: {16,18,20,22,24} = > Range: {20.8, 22.4, 25.2, 26.8, 28.4}

    Domain: {37,46,49,55,57} = > Range: {14.8,18.4,19.6,22,22.8}

    Domain: {44,51,59,66,73} = > Range: {17.6,20.4,23.6,26.4,29.2,}

    Step-by-step explanation:

    Given

    f (x) = x/2.5

    To find the corresponding domain, we will input the domain into the function.

    So for first domain,

    Domain = {40,45,50,55,60}

    The values of range will be

    f (40) = 40/2.5=16

    f (45) = 45/2.5=18

    f (50) = 50/2.5=20

    f (55) = 55/2.5=22

    f (60) = 60/2.5=24

    So the corresponding range for domain { 40, 45, 50, 55, 60} is {16, 18, 20, 22, 24}

    For 2nd domain,

    Domain = {52,56,63,67,71}

    The values of range will be

    f (52) = 52/2.5=20.8

    f (56) = 56/2.5=22.4

    f (63) = 63/2.5=25.2

    f (67) = 67/2.5=26.8

    f (71) = 71/2.5=28.4

    So the corresponding range for domain {52,56,63,67,71} is {20.8, 22.4, 25.2, 26.8, 28.4}

    for 3rd domain,

    Domain = {37,46,49,55,57}

    The values of range will be

    f (37) = 37/2.5=14.8

    f (46) = 46/2.5=18.4

    f (49) = 49/2.5=19.6

    f (55) = 55/2.5=22

    f (57) = 57/2.5=22.8

    So the corresponding range for domain {37,46,49,55,57} is {14.8, 18.4, 19.6, 22, 22.8}

    For 4th domain

    Domain = {44,51,59,66,73}

    The values of range will be

    f (44) = 44/2.5=17.6

    f (51) = 51/2.5=20.4

    f (59) = 59/2.5=23.6

    f (66) = 66/2.5=26.4

    f (73) = 73/2.5=29.2

    So the corresponding range for domain{44,51,59,66,73} is {17.6, 20.4, 23.6,26.4,29.2} ...
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