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    alshattii94's Avatar
    alshattii94 Posts: 2, Reputation: 1
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    #1

    Nov 12, 2013, 08:01 AM
    Graph function / help me I will have exam after tomorrow
    1- Let f be the function whose graph is given:

    http://i.imgur.com/mjUnWJa.png
    a) Estimate the value of f(2).

    b) Estimate the values of x such that f(x)=1 .
    c) State the domain of f
    d) State the range of f
    e) On what interval is f increasing?



    please help me because I will have exam after tomorrow
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #2

    Nov 12, 2013, 09:23 AM
    Some hints:

    a) If you read across the x-axis to the point x=2, and then go up to intercept the graph, what's the corresponding value of the y-axis for that point?

    b) Read up the y-axis to the point y=1, then go horizontally across to intercept the graph - what's the corresponding value on the x-axis?

    c) The domain of the function is the extent of the x-axis for which the function is defined. In this case, what's the least and greates values on the x-axis for which the graph exists?

    d) The range is the extent to which the function maps to the y-axis. In other words - what's the least and greatest values of y that have a corresponding point on the graph?

    e) Examine the graph - note that it has a positive slope (i.e slants up to the right) for part of it. The question is: for what values of x does the graph slope up to the right?

    Post back with your attempt at answering these and we'll check them for you.

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