Question

determine whether the following statement makes sense or does not make sense, and explain your reasoning. the graph of a function is not a straight line, so the slope cannot be used to analyze its rates of change. choose the correct answer below. a. the statement makes sense. for the graph of a function that is not a straight line, the slope cannot be determined. b. the statement does not make sense. although slope cannot be used to determine the exact rate of change for a graph of a function that is not a straight line, it can still be used to determine the average rate of change between any two points by finding the slope of the line joining the two points. c. the statement does not make sense. the slope can be used to determine the exact rate of change between any two points by finding the slope of the line joining the two points. d. the statement makes sense. for the graph of a function that is not a straight line, the slope is undefined and hence cannot be interpreted.

Explanation:

The slope of the line joining two points on a non - straight function graph gives the average rate of change between those two points. So, slope can be used for non - straight function graphs in terms of average rate of change.

Answer:

B. The statement does not make sense. Although slope cannot be used to determine the exact rate of change for a graph of a function that is not a straight line, it can still be used to determine the average rate of change between any two points by finding the slope of the line joining the two points.