To find \( -f(3 - f(3)) \), we can use the properties of odd functions and the values presented in the table you provided.
Since the function \( f \) is defined to be odd, we have the property that:
\[ f(-x) = -f(x) \]
This means that for any \( x \), the function evaluated at \(-x\) will equal the negative of the function evaluated at \( x \).
From your table, it looks like you provided values of \( f(x) \) at certain points. However, it appears there might be a misunderstanding in how the values were presented. I will interpret the values as follows:
- \( f(-3) = -3 \)
- \( f(-2) = -2 \)
- \( f(-5) = -5 \)
- \( f(-8) = -8 \)
- \( f(-14) = -14 \)
- \( f(3) = 3 \)
- \( f(2) = 2 \)
- \( f(5) = 5 \)
- \( f(8) = 8 \)
- \( f(14) = 14 \)
Now, let's determine \( f(3) \) first (it looks like from the table that \( f(3) = 3 \)).
Next, we substitute this value into \( 3 - f(3) \):
\[ 3 - f(3) = 3 - 3 = 0 \]
Now, we need to find \( -f(0) \).
Since the function is odd, we know that:
\[ f(0) = 0 \]
Thus, we have:
\[ -f(0) = -0 = 0 \]
So the final value of \( -f(3 - f(3)) \) is:
\[ \boxed{0} \]