Question

Given the graph of the function f(x)
, complete the following table of the points for the horizontally reflected function f(−x)
.

(2 points)
x −1
−2
−3
f(−x)

Answer 1

To complete the table for the horizontally reflected function \( f(-x) \), we need to understand how the function behaves under this transformation.

For any value of \( x \), the corresponding value of \( f(-x) \) can be found by looking up \( f \) at the negative of that \( x \) value.

Given your \( x \) values:

- When \( x = -1 \), we find \( f(-(-1)) = f(1) \).
- When \( x = -2 \), we find \( f(-(-2)) = f(2) \).
- When \( x = -3 \), we find \( f(-(-3)) = f(3) \).

To fill in the table, we need the corresponding values of \( f(1) \), \( f(2) \), and \( f(3) \).

If you provide the values of \( f(1) \), \( f(2) \), and \( f(3) \) from the graph, I can help you complete the table for \( f(-x) \).