Analyzing Rate of Change: Determine Uniformity from X-Y Coordinate Table

To determine whether the rate of change is uniform for the function given by the table, follow these steps:

• Calculate the rate of change between each pair of consecutive points.
• Ensure the calculated rates are all equal to verify uniformity.

Let's calculate the rate of change between these points:

1. Between $(-7, 0)$ and $(-4, 1)$:
The rate of change is:
$\frac{1 - 0}{-4 - (-7)} = \frac{1}{3}.$

2. Between $(-4, 1)$ and $(-1, 2)$:
The rate of change is:
$\frac{2 - 1}{-1 - (-4)} = \frac{1}{3}.$

3. Between $(-1, 2)$ and $(2, 3)$:
The rate of change is:
$\frac{3 - 2}{2 - (-1)} = \frac{1}{3}.$

All calculated rates of change are equal to $\frac{1}{3}$, indicating the rate of change is uniform between each consecutive pair of points.

Therefore, the rate of change is Uniform.