Analyzing Rate of Change: Compare Points from (-2,1) to (1,7) in Function Table

To solve this problem, we'll follow these steps:

• Step 1: Calculate the rate of change between each consecutive pair of points.
• Step 2: Compare these rates to check for uniformity.

Now, let's work through each step:
Step 1: Calculate the rate of change for each consecutive pair of points:
- Between $(-2, 1)$ and $(-1, 3)$:
$\frac{3 - 1}{-1 - (-2)} = \frac{2}{1} = 2$
- Between $(-1, 3)$ and $(0, 5)$:
$\frac{5 - 3}{0 - (-1)} = \frac{2}{1} = 2$
- Between $(0, 5)$ and $(1, 7)$:
$\frac{7 - 5}{1 - 0} = \frac{2}{1} = 2$

Step 2: Compare the calculated rates of change.
We observe that the rate of change is constantly $2$ for each pair of points.

Therefore, the solution to the problem is that the rate of change is Uniform.