Determine the average rate of change over the interval -1≤x≤1 of the exponential function whose graph is shown below.
a. -6
b. -3
c. 3
d. 6
To determine the average rate of change over the interval, we need to find the slope of the secant line that connects the endpoints of the interval.
The function starts at (0, 1) and ends at (1, 4). The change in y-values is 4 - 1 = 3. The change in x-values is 1 - 0 = 1.
Therefore, the average rate of change is the change in y divided by the change in x, which is 3/1 = 3.
Hence, the answer is c) 3.