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Functions

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  • The domain and the range of g, a function, are shown in the table.

    g, a function, are shown in the table.

    Which of these defines function g?

    g?

    g(x) = 3x - 4

    g(x) = 3x + 4

    g(x) = 4x + 3

    g(x) = 4x - 3



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  • Which of the following functions of x has the apparent range of



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  • {3, 4, 5}

    {–3, –2, –1}

    {3, 10, 19}

    {0, 2, 4}



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  • Which of the following is not a function of x?



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  • Speedy Rentals will rent a jet ski for $15.00 plus $3.00 per hour.

    Which equation expresses C, the cost of renting a jet ski and riding it for h hours?


    C = 15h + 3
    C = 15 +3h
    C = 3(15 + h)
    C = 15(h + 3)


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  • The approximate height at which the base of a cumulus cloud begins to form can be calculated using the formula H = 120(T – D) where H is height in meters from the ground to the base of the cloud, T is the ground air temperature in degrees Celsius, and D is the dew point temperature in degrees Celsius.

    Which is the BEST estimate for the height of the base of a cumulus cloud on a day
    when the ground air temperature is 33º Celsius and the dew point temperature is
    22º Celsius?


    131 meters
    1080 meters
    1200 meters
    1320 meters


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  • For a long-distance call, a telephone company charges $0.75 for the first three minutes, and $0.15 for each additional minute. If the telephone company plans to increase the charge for each additional minute by 5 cents, which of these will represent C, the total charge for t minutes?

    C, the total charge for t minutes?

    C = (0.75 + 0.05) + 0.15t
    C = (0.15 + 0.05) + 0.75t
    C = 0.15 +(0.05 + 0.75)t
    C = 0.75 + (0.05 + 0.15)t


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  • Paula makes purses. The materials cost $2.25 per purse. She sells them for $5.00 each. Paula wants to invest $5000 for some new equipment. Which of these could be used to determine x, the number of purses Paula must sell to pay for the new equipment?

    5.00x - 2.25x = 5000
    5.00x + 2.25x = 5000
    5.00x = 5000
    2.25x = 5000


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  • David and Terri drove a small motorboat down a river with the current. The rate the boat traveled in still water was r miles per hour and the current’s average speed was c miles per hour. It took them 1.5 hours to travel 4 miles downstream. Which of the following equations can be used to represent this information?

    1.5 = (r + c)4

    1.5 = (r – c)4

    4 = (r + c)1.5

    4 = (r – c)1.5



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  • The table shows data collected from a timed practice period for a bicyclist riding at a constant rate. Which equation represents the linear relationship between y, the total number of minutes ridden, and x, the total number of miles ridden?



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  • What is the domain of the function f(x) = 2x - 3 when the range is {-9, -3, 1}?

    {-21, -9, -1}
    {-2, 0, 6}
    {-8, -2, 2}
    {-3, 0, 2}


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  • The annual salary for a teacher is $34,000, plus an additional $500 per year for each year of experience. Which equation represents y, the annual salary for a teacher with x years of experience?



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  • Which of these is a linear equation?

    I only
    II only

    I, II, and III

    None are linear equations.


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  • Ted bought an antenna that is 12 feet high. He placed the antenna next to his house and attached a support wire as shown.

    What is the slope of the support wire?


    3/4
    4/5
    4/3
    5/3


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  • If the line segment connecting the points (5, 7) and (13, 1) is sketched on a coordinate plane, what is the length of the segment in units?




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  • Which is an equation for the line that passes through A(3, –9) and B(2, 4)?

    A(3, –9) and B(2, 4)?



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  • Which of these linear equations is derived from the table shown?

    y = x + 4
    y = 2x + 7
    y = -x + 4
    y = 3x + 2


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