To determine whether the function is linear or nonlinear, we need to check if the changes in $x$ and $y$ follow a constant rate (i.e., the same difference each time).

Given:

• When $x = 1$, $y = 0$
• When $x = 4$, $y = 3$
• When $x = 10$, $y = 7$

We check the differences:

1. From $x = 1$ to $x = 4$, $\Delta x = 3$ and $\Delta y = 3$.
2. From $x = 4$ to $x = 10$, $\Delta x = 6$ and $\Delta y = 4$.

Since the changes in $y$ with respect to $x$ are not constant, the function is nonlinear.

Do you want more details or have any questions?

---

Here are 5 relative questions:

1. How can you identify linear functions from tables?
2. What is the formula for a linear function?
3. Can a function with variable rate changes be linear?
4. How can slope help in determining a function’s linearity?
5. What are some common examples of nonlinear functions?

Tip: A linear function will always have a constant rate of change, meaning equal increments in $x$ will lead to equal increments in $y$.