3. Calculate the Average Rate of Change of the function represented in the table below for the interval x=−1 to x=2 .
A. -1
B. 3
C. 1
D. -3
The average rate of change is calculated by finding the difference in the function values over the interval x = -1 to x = 2 and dividing by the difference in x-values.
For the given table, the function values for x = -1 and x = 2 are 5 and 10 respectively.
The difference in function values is: 10 - 5 = 5
The difference in x-values is: 2 - (-1) = 3
The average rate of change is: 5/3
Therefore, the correct answer is B. 3.