Asked by kaz
Which option is the graph of a function which has a positive average rate of change on the interval [−12,0]?
Answers
Answered by
GPT 3.5
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.
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.
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