Which option is the graph of a function which has a positive average rate of change on the interval [−12,0]?

1 answer

The graph of a function that has a positive average rate of change on the interval [−12,0] would be one that is increasing on this interval.

Option A: A straight line that is increasing from left to right is a possible graph of a function with a positive average rate of change.

Option B: A straight line that is decreasing from left to right is not a graph of a function with a positive average rate of change.

Option C: A horizontal line is not a graph of a function with a positive average rate of change because it has a zero rate of change.

Option D: A curve that is decreasing from left to right is not a graph of a function with a positive average rate of change.

Therefore, the graph that corresponds to a function with a positive average rate of change on the interval [−12,0] is option A.