What is the average rate of change for this exponential function for the interval from x = 0 to x = 2
15-
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A.-4
B.-1.5
C. 1.5
D. 4
To find the average rate of change for an exponential function on the interval from x = 0 to x = 2, we can use the formula: (f(2) - f(0))/(2-0).
The exponential function given is not explicitly stated in the question, so I will provide two examples for illustration:
Example 1:
f(x) = 2^x
f(0) = 2^0 = 1
f(2) = 2^2 = 4
Average rate of change = (4 - 1) / (2 - 0) = 3 / 2 = 1.5
Therefore, the correct answer is C. 1.5
Example 2:
f(x) = 3^x
f(0) = 3^0 = 1
f(2) = 3^2 = 9
Average rate of change = (9 - 1) / (2 - 0) = 8 / 2 = 4
Therefore, the correct answer is D. 4