Q:

Find the average rate of change for the given function from x = 1 to x = 2. 1) -22) -1/23) 1/24) 2

Accepted Solution

A:
Answer:2Step-by-step explanation:The average rate of change from x=1 to x=2 is the same as finding the slope of a line at x=1 and x=2.So we are going to need to corresponding y coordinates.What y corresponds to x=1? y=3What y corresponds to x=2? y=5So we have the ordered pairs (1,3) and (2,5).Line the points up vertically and subtract vertically then put 2nd difference over 1st difference. (2 , 5)-(1  , 3)-----------1      2The average rate of change is 2/1 or just 2.Now since we were asked to find the average rate of change given the function was a line, it really didn't matter what two points you used on that line.