To find the value of the car after three years of depreciation, we can use the equation given, \( f(x) = 32,000(0.92)^x \).
For \( x = 3 \):
\[ f(3) = 32,000(0.92)^3 \]
First, calculate \( (0.92)^3 \):
\[ (0.92)^3 = 0.77378 \]
Now, multiply this by 32,000:
\[ f(3) = 32,000 \times 0.77378 \approx 24,790.96 \]
Thus, the value of the car after three years is approximately $24,790.96.
The completed table is:
\[ \begin{array}{|c|c|} \hline x & f(x) \ \hline 0 & 32,000.00 \ 1 & 29,440.00 \ 2 & 27,048.80 \ 3 & 24,790.96 \ \hline \end{array} \]