<u>Answer:</u>
The correct answer option is C.
.
<u>Step-by-step explanation:</u>
From the given graph of the polynomial function, we can see that the graph passes through the following points:
and
.
So the roots or zeros of this polynomial function are:
and
.
Now, we'd graph the equation of the given polynomial and will check for roots and end behavior of the graph.
Therefore, the polynomial function that is represented by the graph is:

4^3 = 64 so log_4(64) = 3 giving y = 3