To find the values of the function \( f(-x) \) for the given \( x \) values, we need to reflect the points of the original function \( f(x) \) over the y-axis. This means that the value of \( f(-x) \) can be found by using the corresponding \( f(x) \) value for \( -x \).
Assuming the function \( f(x) \) is plotted on the graph, we would need to look at the graph to find the values for \( f(1) \), \( f(2) \), \( f(3) \), and then deduce the values for \( f(-1) \), \( f(-2) \), and \( f(-3) \).
For the requested calculations, let’s assume:
- \( f(-1) = f(1) \)
- \( f(-2) = f(2) \)
- \( f(-3) = f(3) \)
Without the image, I cannot provide the exact function values, but if you check the graph for \( f(1) \), \( f(2) \), and \( f(3) \), you can fill in the table as follows:
| x | -1 | -2 | -3 | |----|----|----|----| | f(−x) | f(1) | f(2) | f(3) |
Please refer back to the graph to obtain the exact numerical values for \( f(1) \), \( f(2) \), and \( f(3) \), which will fill the table accurately.
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