Question

What is the function of the graph?

Answer 1

Answer:

A.f(x)=ln(−x)

Step-by-step explanation:

Graph Of The Logarithm Function

The domain of the logarithm function, written as y=log(u), is u>0. This means that it doesn't exist for any value of u less than or equal to zero

We can see in the graph the function is defined for all negative values of x. It means that if we choose any of the points in the graphs, the selected function must exist at that point.

Let's pick the point (-7,2). If we set x=-7 in the second option B, it would produce log(-5) which is not defined. A similar thing happens when using the third function to produce ln(-8) who doesn't exist either. The function D is not good because it would take log(-7). The only possible function is the first one f(x)=ln(-x), when evaluating f(-7)=ln7=1.95