Question

Which of the following functions is graphed above

Answer 1

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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