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anonymous

  • one year ago

What function is graphed below? (graph attached in comments) f(x) = log (x − 3) f(x) = log (x + 3) f(x) = log x + 3 f(x) = log x − 3

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  1. anonymous
    • one year ago
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  2. anonymous
    • one year ago
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    Alright @phi is awesome he will help...

  3. anonymous
    • one year ago
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    okay :)

  4. phi
    • one year ago
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    the key number is what is log(1) ? if you don't know, what does your calculator say?

  5. phi
    • one year ago
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    logs are confusing (for me, anyway) but log(1) means what exponent gives us 1? (we assume base 10) 10 to what power is 1? the factoid to remember is 10^0 = 1 the power is 0 log(1) means what power gives us 1. and the power is 0 log(1)=0

  6. anonymous
    • one year ago
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    ah sorry, didn't get a notification that you replied.

  7. phi
    • one year ago
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    assuming you know log(1)=0 we look for the x value of the graph where it crosses the x-axis (i.e. where y is zero) what x value is that ?

  8. anonymous
    • one year ago
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    would it also be 0?

  9. phi
    • one year ago
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    you have to look at the graph. put you finger on the x-axis and move your finger along the x-axis until you reach the curve. then read what x value you are at . can you do that ?

  10. anonymous
    • one year ago
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    x=-2

  11. phi
    • one year ago
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    good.

  12. phi
    • one year ago
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    now we have to figure out how to change log(x) so that it is translated (slid over) from x=1 to x= -2 (because it should be at 0 at x=1, but we see it was moved so that it is at 0 when x=-2)

  13. phi
    • one year ago
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    the "fast way" is to memorize: to slide a function f(x) to the *left* n steps, write f(x+n) to slide the function f(x) to the *right* n steps, write f(x-n)

  14. anonymous
    • one year ago
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    one moment

  15. anonymous
    • one year ago
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    i figured it out :) thanks!

  16. phi
    • one year ago
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    what did you get ?

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