Question

The function f(x)= x3 - 10x² + 29x-20 is graphed below. Over which interval

is the rate of change negative?

Answer 1

2.2 ≤ x ≤ 4.5

Explanation:

The rate of change simply is asking when the gradient is negative and since a graph is provided you can tell where the line is declining which is in between 2.2 and 4.5. Without a graph, you can use the derivative to find out the negative rate of change of a cubic instead.