Given the context and the options provided, let's summarize the evaluations we did:
- For \( x = 0 \): gave \( (0, 6) \)
- For \( x = 1 \): gave \( (1, -17) \)
- For \( x = 3 \): gave \( (3, -63) \)
Now, evaluating the options:
- \( (0, -23) \): Incorrect (as we found \( (0, 6) \)).
- \( (0, -\frac{2}{3}) \): Incorrect (not applicable for the function).
- \( (1, 4) \): Incorrect (as we found \( (1, -17) \)).
- \( (3, 4) \): Incorrect (as we found \( (3, -63) \)).
- \( (3, 8) \): Incorrect (as we found \( (3, -63) \)).
Since none of the options match any calculated outputs, let’s see which is "closest":
The closest value based on \( x = 1 \) might be \( (1, 4) \) since the output for \( x = 1 \) was \( -17 \). The value \( -17 \) is definitely lower than \( 4 \), but it’s the closest value contextually.
Thus, if I have to choose the closest answer, it would be:
Option \( \boxed{(1, 4)} \).