Question

What is the average slope/rate of change between (0, 1) and (2, 4)?

What is the average slope/rate of change between (-2, 1/4) and (-1, 1/2)?

Is the slope/rate of change constant (not changing/the same)?

Is the function linear?

Answer 1

For the first set of points (0, 1) and (2, 4), the slope/rate of change is (4 - 1)/(2 - 0) = 3/2.

For the second set of points (-2, 1/4) and (-1, 1/2), the slope/rate of change is (1/2 - 1/4)/(-1 - (-2)) = 1/12.

The slope/rate of change is not constant between the two sets of points as they have different values.

We cannot determine whether the function is linear based on the given information.