The function that is graphed in the image is f(x) = -4log(-x + 4).
What is deduced from the graph?
We can see that x-intercept is (3,0), when x=3, y=0, then, we use eliminate those of the 4 possible answers that could not be correct.
Note
log (1) = 0.
First answer:
log(x + 4). Why? Because when x=3,
log(x + 4)=log(3 + 4)= log 7, which is NOT zero.
Second answer It is not Zero
Third answer
log(x + 4). If x=3, we get log(7), which is not zero.
Fourth answer
f(x) = -4log(-x + 4). When x=3, we get f(3)= -4log(-x + 4)
= -4(log[1]) = 0.
Therefore, the Option D is correct.
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