The average rate of change for f(x) from x = 0 to x = 2 will be 4. Then the correct option is D.
Let the function y = f(x).
Then the average rate of change will be
Average rate of change = (y₂ - y₁) / (x₂ - x₁)
Then the average rate of change for f(x) from x = 0 to x = 2 will be
The exponential function going through points (0, -2) and (2, 6).
Then we have
Average rate of change = (6 + 2) / (2 - 0)
Average rate of change = 8 / 2
Average rate of change = 4
Then the correct option is D.
More about the average rate of change link is given below.
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