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31 January, 01:20

1. Jeff writes comic strips for a local newspaper. The number of comic strips he creates is represented by the function f (x) = 3x, where f (x) gives the number of comic strips and x is the number of work hours he puts in, which varies day to day. If he puts in {3, 4, 6, 7, 9} work hours, how many comic strips can he write?

2. If the range of the function f (x) = 5x - 3 is {-13, - 8, - 3, 12, 17}, what is its domain?

3. The number of hours required to do a painting job is represented by the function f (x) = 2x, where f (x) gives the number of hours and x is the number of painters doing the job. How much time will {4, 10, 14, 16, 18} workers take to do the job?

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  1. 31 January, 04:40
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    1. f (x) = 3x

    f (3) = 3 (3) = 9

    f (4) = 3 (4) = 12

    f (6) = 3 (6) = 18

    f (7) = 3 (7) = 21

    f (9) = 3 (9) = 27

    he can write {9,12,18,21,27} comic books

    2. range is y values ... f (x) is y ... therefore, range is f (x) ... domain is x values

    f (x) = 5x - 3

    -13 = 5x - 3 ... - 13 + 3 = 5x ... - 10 = 5x ... x = - 2

    -8 = 5x - 3 ... - 8 + 3 = 5x ... - 5 = 5x ... x = - 1

    -3 = 5x - 3 ... - 3 + 3 = 5x ... 0 = 5x ... x = 0

    12 = 5x - 3 ... 12 + 3 = 5x ... 15 = 5x ... x = 3

    17 = 5x - 3 ... 17 + 3 = 5x ... 20 = 5x ... x = 4

    so the domain is { - 2,-1,0,3,4}

    3. f (x) = 2x

    f (4) = 2 (4) = 8

    f (10) = 2 (10) = 20

    f (14) = 2 (14) = 28

    f (16) = 2 (16) = 32

    f (18) = 2 (18) = 36

    time it will take in hrs { 8,20,28,32,36}
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