determine if the function is even or odd. Make sure to show all written work.

To determine whether a function is even, odd, or neither, we follow these steps:

1. **Identify the function \( f(x) \).**
2. **Compute \( f(-x) \).**
3. **Compare \( f(-x) \) with \( f(x) \) and \( -f(x) \):**
   - If \( f(-x) = f(x) \), the function is **even**.
   - If \( f(-x) = -f(x) \), the function is **odd**.
   - If neither condition is met, the function is **neither** even nor odd.

### Example 1: \( f(x) = x^2 + 3 \)

1. **Given function:** \( f(x) = x^2 + 3 \)

2. **Compute \( f(-x) \):**
   \[
   f(-x) = (-x)^2 +

Determine if the function is even or odd. Make sure to show all written work.

Explore the step-by-step process of determining whether a function is even, odd, or neither. This problem covers key algebraic concepts, including the even and odd function theorems. Suitable for students in Grades 9-12.

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