Question 3 of 10
This table shows values that represent an exponential function.
X
1
0
1
2
2
4
3
8
4
16
5
32
6
64
What is the average rate of change for this function for the interval from x = 2 to x = 47
A, 6
B. 12
C. 1/12
D. 1/6
In this table, the values represent an exponential function where x is increasing by 1 each time and the y-values are doubling.
When x = 2, y = 4
When x = 4, y = 16
To find the average rate of change from x = 2 to x = 4, we can use the formula:
Average Rate of Change = (change in y) / (change in x)
Average Rate of Change = (16 - 4) / (4 - 2)
Average Rate of Change = 12 / 2
Average Rate of Change = 6
Therefore, the average rate of change for this function for the interval from x = 2 to x = 4 is 6.
The answer is A. 6.