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Determine whether each graph is a linear function or non linear function 

In the provided image, we have two graphs labeled 7 and 8. Let's analyze each graph to determine whether they represent a linear or non-linear function:

1. **Graph 7:**
   - The graph is curved, resembling an *S-shape*. This kind of curve is characteristic of a **non-linear function**. It seems like the graph is of a cubic function or similar.
   - A linear function would have a straight line, but here we see the graph curving in two different directions.
   - **Conclusion:** **Non-linear function**.

2. **Graph 8:**
   - The graph is a straight horizontal line, which is constant across all values of \(x\). This is a key feature of a **linear function** because the slope is constant.
   - A horizontal line is actually the graph of a function like \( y = c \), where \(c\) is a constant.
   - **Conclusion:** **Linear function**.

So, the determinations are:
- Graph 7: **Non-linear function**
- Graph 8: **Linear function**

Would you like further details or explanations on these graphs?

Here are 5 related questions you may find useful:
1. What are the properties of a linear function graph?
2. How can you tell the difference between a linear and non-linear function visually?
3. What is the general form of a cubic function (like graph 7)?
4. How does the slope of a line affect its classification as linear or non-linear?
5. What are some examples of non-linear functions used in real-world applications?

**Tip:** Non-linear functions often curve or bend, while linear functions always form a straight line.

Determine whether each graph is a linear function or non-linear function.

Analyze graphs to determine if they represent linear or non-linear functions. Learn how curved graphs (like cubic functions) and straight lines define different types of functions, suitable for students in Grades 8-10.

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