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Math Help - concavity- matching graphs

  1. #1
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    concavity- matching graphs

    concavity- matching graphs-4_4_13.gif

    I think I managed to attack the picture...
    Match each statement with a graph in Figure 13 that represents company profits as a function of time.
    (a) The outlook is great: The growth rate keeps increasing.
    (b) Were losing money, but not as quickly as before.
    (c) Were losing money, and its getting worse as time goes on.
    (d) Were doing well, but our growth rate is leveling off.
    (e) Business had been cooling off, but now its picking up.
    (f) Business had been picking up, but now its cooling off.


    I honestly dont get why I have so much trouble w/ graphs! I dont mind taking derivatives...but I just don't understand graphs. Basically concave up is good(increasing), concave down is bad?
    for a) I said graph ii..
    b) vi?
    c)i
    d) v
    e and f honestly no idea...I tried though...
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  2. #2
    Member
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    Oct 2010
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    help

    (a) The outlook is great: The growth rate keeps increasing.
    (b) We’re losing money, but not as quickly as before.
    (c) We’re losing money, and it’s getting worse as time goes on.
    (d) We’re doing well, but our growth rate is leveling off.
    (e) Business had been cooling off, but now it’s picking up.
    (f) Business had been picking up, but now it’s cooling off.


    Let's take each of these in turn;

    a: Since the growth rate keeps increasing, it must be ii. You might say, "well what about graph v, doesn't that one keep increasing as well?" Yes, it does, but not at a constant rate. See how the graph squiggles?

    b: Ok we're losing money, so the graph will be decreasing, but not drastically. Graph i fits the bill.

    c: "Getting worse as time goes on" implies the rate of decrease keeps getting larger, and the graph should plummet very fast. This is iv.

    d: The "leveling off" gives a hint that it is increasing but not drastically so. This is graph iii.

    e: Notice the two different descriptions of how the business is doing. This gives a hint that the graph should do two different things. See how graph vi seems to die off then increases faster?

    f: Same as e. Two different things should happen. Check out graph v.


    Hope this helps
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  3. #3
    Junior Member
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    thank you so much! I'm going to look over this and figure out these graphs...
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