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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.

Josué was given the function g(x) = -3x + 5 and asked to evaluate the function when x = -2, 0, and 3. Which of the following represents Josué's answer?

Learn how to evaluate the function g(x) = -3x + 5 for different values of x, including -2, 0, and 3. This problem involves key concepts from algebra and linear functions, suitable for students in Grades 7-9.

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