You did not ask any questions about this exercise; I cannot determine why you're stuck.
Graphically speaking, the average rate of change is simply the slope of the line which connects the two points on the graph over the given interval. (We call such a line a "secant line".)
In other words, the average rate of change is [change in f] divided by [change in x]. You should recognize the expression in blue as being very similar to the formula for the slope of a line.
Your exercise does not provide a definition (i.e., formula, graph, or table of values) for function f, so you must express the change in f symbolically, using function notation.
I'm not sure what else to say, at this point, as you did not share any information about your situation.
If you need more help, please ask specific questions.
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