The function given is $g(x) = -3x + 5$, and we are asked to evaluate it for $x = -2, 0,$ and $3$.

Step-by-step evaluation:

1. When $x = -2$: $g(-2) = -3(-2) + 5 = 6 + 5 = 11$

2. When $x = 0$: $g(0) = -3(0) + 5 = 0 + 5 = 5$

3. When $x = 3$: $g(3) = -3(3) + 5 = -9 + 5 = -4$

So, the values of $g(x)$ for $x = -2, 0,$ and $3$ are $11, 5,$ and $-4$, respectively.

Conclusion:

The correct option is B: $11, 5, -4$.

Would you like more details or have any questions?

Here are 5 related questions to expand your understanding:

1. What is the slope of the function $g(x) = -3x + 5$?
2. How do you interpret the y-intercept of the function $g(x)$?
3. How would the graph of $g(x)$ look based on the slope and y-intercept?
4. If $g(x)$ were shifted upward by 2 units, what would the new equation be?
5. What would be the value of $g(x)$ when $x = 1$?

Tip: To find function values, simply substitute the given $x$-value into the equation and solve.