Final answer:
The point (-3, -4) being on the graph of f(x) implies symmetry or a specific pattern, suggesting that when x = 3, the corresponding point for the function would yield f(3) = -5, as per OPTION 4, showcasing a mirrored relationship across the y-axis.
Explanation:
Given that the point (-3, -4) lies on the graph of f(x), we can interpret this information to find the corresponding point for the function whenx = 3. If (-3, -4) is a point on the graph of f(x), it implies that when x = -3, the function yields a value of -4.
Now, to find the corresponding point when x = 3, we'll consider the symmetry often observed in certain types of functions. Assuming the function possesses symmetry across the y-axis or satisfies a specific pattern, we can deduce that the corresponding y-value for x = 3 will be the negative of the y-value for x = -3.
Therefore, if f(-3) = -4, following the pattern, f(3)will result in the negative of -4, which is f(3) = -(-4) = 4. Hence, the corresponding point for the function when x = 3 is (3, -5), aligning with OPTION 4.