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The problem asks to compare two functions based on line symmetry.

- **f(x)** (on the left) represents a straight line. A straight line, unless it's vertical or horizontal, does not have line symmetry. Therefore, the correct answer for \( f(x) \) is "none."

- **g(x)** (on the right) represents a parabola, which opens upwards. Parabolas are symmetrical around their vertex, and the line of symmetry is vertical, passing through the vertex. Here, the vertex appears to be at \( x = 0 \). Therefore, the line of symmetry for \( g(x) \) is \( x = 0 \).

**Final answers:**
- \( f(x) \): none
- \( g(x) \): \( x = 0 \)

Would you like further details or have any questions?

Here are 5 related questions for further exploration:
1. What is the general equation for a line, and how can we identify symmetry?
2. What is the general form of a quadratic function, and how do you find its vertex and symmetry line?
3. Are there cases where a linear function can have symmetry? If so, when?
4. How does the graph of a function help in understanding its symmetry?
5. Can functions have more than one line of symmetry?

**Tip:** For any parabola, the line of symmetry is always a vertical line passing through the vertex of the parabola.

Compare the two functions based on line symmetry. If there is line symmetry, state the line of symmetry. If there is no line symmetry, enter none.

Understand how to identify line symmetry in functions by comparing a linear function and a quadratic function. Learn the key concepts behind line symmetry and how to find the axis of symmetry for parabolas. Suitable for students in Grades 8-10.

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