Final answer:
Yes, it is true that for a polynomial function g, the rate of change is increasing for x<2 and decreasing for x>2.
Step-by-step explanation:
Yes, it is true that for a polynomial function g, the rate of change is increasing for x<2 and decreasing for x>2.
When the rate of change is increasing, it means that the slope of the graph is getting steeper as x values get smaller. In other words, as we move to the left of x=2, the line is getting steeper.
On the other hand, when the rate of change is decreasing, it means that the slope of the graph is getting flatter as x values get larger. In other words, as we move to the right of x=2, the line is getting less steep.