The Function that best describes the image is f(x)= log (x - 5)
What is function?
"A Function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output."
We have,
Function f(x)= log (x - 5)
We have a vertical asymptote at x=5 (function never meets)
We know that it is either f(x) = log x-5
The reason is, this function is saying, plug in x with log then subtract 5
Where as, f(x) = log (x-5)
we can subtract first then multiply by log
This means that graphically, there would be a vertical asymptote at x=0, because if we substitute 0, then we get 0 for y.
∴ The Function that best describes the image is f(x)= log (x - 5)
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