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anonymous

  • one year ago

1. Create a graph of the pH function either by hand or using technology. Locate your graph where the pH value is 0 and where it is 1. You may need to zoom in on your graph.

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  1. anonymous
    • one year ago
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    @Nnesha @Preetha @Kainui @freckles

  2. anonymous
    • one year ago
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    Any ideas? IrishBoy :)

  3. anonymous
    • one year ago
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    Before any plotting, let's create a table, |dw:1438978318051:dw|

  4. anonymous
    • one year ago
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    Ok :) I see. Now what do we do?

  5. anonymous
    • one year ago
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    take any numbers of values, then plot them on a graph |dw:1438978459965:dw|

  6. anonymous
    • one year ago
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    Oh! Cant we use graphing technology? Like fooplot.com?

  7. anonymous
    • one year ago
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    That is something you would know, is this a question for school or what?If so you should ask your teacher if you can use a graph online

  8. anonymous
    • one year ago
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    You can:)

  9. anonymous
    • one year ago
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    Ok the question says either by hand or by technology, so you're free to use any online graphing softwares

  10. anonymous
    • one year ago
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    I was just wondering, if you could just use graphing technology instead of drawing it to make it more clear

  11. anonymous
    • one year ago
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    So what would the graph look like?

  12. anonymous
    • one year ago
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    @mathmate

  13. anonymous
    • one year ago
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    |dw:1438979039696:dw| It would look something like this, search "graph -log(x)" on google and it will generate a graph for you

  14. anonymous
    • one year ago
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    Alright thanks. Now what about this part? 2. The pool maintenance man forgot to bring his logarithmic charts, and he needs to raise the amount of hydronium ions, t, in the pool by 0.50. To do this, he can use the graph you created. Use your graph to find the pH level if the amount of hydronium ions is raised to 0.50. Then, convert the logarithmic function into an exponential function using y for the pH.

  15. mathmate
    • one year ago
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    First we will use the identity \(\Large y=log_b x~~means~~ x=b^y\) so if \(p(t)=y=-log10(t)=log10(1/t)\) then \(1/t=10^y\) or \(t=10^{1/y}=10^{-y}\) If\( y=0.5~~then~~ t=10^{-0.5}\)

  16. anonymous
    • one year ago
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    |dw:1438979139010:dw| Isn't it -log10(2)=-2??

  17. anonymous
    • one year ago
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    Am I wrong?

  18. anonymous
    • one year ago
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    \[p(t)=-\log(t)\] If you shift your t by 0.5, your graph will also change, I don't see how you could use the same graph, you would need to shift it slightly\[p(t+0.5)=-\log(t+0.5)\]

  19. anonymous
    • one year ago
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    yes you are wrong, what I mean by in that table is \[-\log_{10}(2)=-0.3010\]

  20. anonymous
    • one year ago
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    Last one! The pool company developed new chemicals that transform the pH scale. Using the pH function p(t) = −log10t as the parent function, explain which transformation results in a y-intercept and why. You may graph by hand or using technology. Use complete sentences and show all translations on your graph. p(t) + 1 p(t + 1) −1 • p(t)

  21. mathmate
    • one year ago
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    Check: p(10^-0.5)=-log10(10^-0.5)=-(-0.5)=0.5

  22. mathmate
    • one year ago
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    g(x)=f(x)+k will translate the graph of f(x) vertically (shifts up by k) g(x)=f(x-h) will translate a graph of f(x) horizontally to the right by "h". which implies g(x)=f(x+h) will translate graph of f(x) to the left by h. g(x)=-f(x) will flip the graph about the x-axis. So make your choice according to the requirements.

  23. anonymous
    • one year ago
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    um the first one?

  24. anonymous
    • one year ago
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    I dont understand how to graph #1?

  25. mathmate
    • one year ago
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    You have already graphed p(t) at the very beginning.|dw:1438979941325:dw| You will have to figure out which translation will result in a y-intercept!

  26. anonymous
    • one year ago
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    ok so -log10(0)=0 -log10(1)=-1

  27. anonymous
    • one year ago
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    I understand:) Whoops! Ok let's got back to #3 bcuz i dont understand that one

  28. anonymous
    • one year ago
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    The pool company developed new chemicals that transform the pH scale. Using the pH function p(t) = −log10t as the parent function, explain which transformation results in a y-intercept and why. You may graph by hand or using technology. Use complete sentences and show all translations on your graph. p(t) + 1 p(t + 1) −1 • p(t)

  29. mathmate
    • one year ago
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    no, log(1)=0 (to any base) and log(0) does not exist.

  30. anonymous
    • one year ago
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    oh! Sorry !!

  31. mathmate
    • one year ago
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    Sorry, gtg, I'll continue later if no one gave you help in the mean time!

  32. anonymous
    • one year ago
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    Thanks so much:)

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