Question

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

x f(-x)
-1 ?
-2 ?
-3 ?

Answer 1

To complete the table for the horizontally reflected function \( f(-x) \), we will need to evaluate the original function \( f(x) \) at the negated values of \( x \). Specifically, we need to find \( f(-(-1)) = f(1) \), \( f(-(-2)) = f(2) \), and \( f(-(-3)) = f(3) \).

Without the graph of \( f(x) \) available, I cannot provide the specific values for \( f(1) \), \( f(2) \), or \( f(3) \). However, you can find these values by looking them up on your graph of \( f(x) \).

Once you find the values, you can fill in the table as follows:

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

Your completed table will look something like this:

\[
\begin{array}{|c|c|}
\hline
x & f(-x) \\
\hline
-1 & f(1) \\
-2 & f(2) \\
-3 & f(3) \\
\hline
\end{array}
\]

Fill in \( f(1) \), \( f(2) \), and \( f(3) \) with the corresponding values from your graph of \( f(x) \).