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We are given the function \( g(x) = -3x + 5 \) and need to evaluate it at \( x = -2 \), \( x = 0 \), and \( x = 3 \).

Let's evaluate the function step by step for each value of \( x \).

1. **For \( x = -2 \):**
   \[
   g(-2) = -3(-2) + 5 = 6 + 5 = 11
   \]

2. **For \( x = 0 \):**
   \[
   g(0) = -3(0) + 5 = 0 + 5 = 5
   \]

3. **For \( x = 3 \):**
   \[
   g(3) = -3(3) + 5 = -9 + 5 = -4
   \]

Thus, Josué's answers are \( g(-2) = 11 \), \( g(0) = 5 \), and \( g(3) = -4 \). 

The correct option that matches this result is **Option B: 11, 5, -4**.

Would you like more details, or do you have any questions?

Here are 5 related questions to consider:
1. How would the function change if the coefficient of \( x \) were different?
2. What does the slope of the linear function represent in this context?
3. How do we interpret the intercept in this function?
4. How would the evaluations change if \( g(x) \) was a quadratic function?
5. How do you graph the function \( g(x) = -3x + 5 \)?

**Tip:** When evaluating functions, always substitute the given values of \( x \) carefully into the expression to avoid calculation errors.

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 linear function g(x) = -3x + 5 at the given values of x = -2, 0, and 3. Step-by-step solutions provided, focusing on algebraic concepts such as function evaluation. Suitable for Grades 7-9.

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