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megababe04
30.06.2019 •
Mathematics
Determine the function which corresponds to the given graph. a natural logarithmic function crossing the y axis at zero and going through the point 5, -1. the asymptote is x = -1
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Ответ:
Step-by-step explanation:
We need to find the function using given condition.
Parent function of log is log x
A natural logarithmic function crossing the y axis at zero and going through the point 5, -1. The asymptote is x = -1
Asymptote is x=-1
So, graph will shift 1 unit right.
Passing point: (0,0) and (5,-1)
Using these two point we will get a and b
For point (5,-1)
Log to exponent change property
We will rearrange the expression
Now we compare both side to get a and b
So, a=-1 and b=6
Final function we get
Thus, Required function is![f(x)=-\log_6(x+1)](/tpl/images/0034/9831/0e129.png)
Ответ:
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