Compare the magnitude of the estimated average rates of change of the exponential function pictured above and the quadratic function f(x)= x² - 20 over the interval [-9, 2] and identify which function has a greater rate of change than the other.
• The estimated average rate of change of the exponential function over the interval [-9, 2] is negative, while the estimated average rate of change of f (x) over the interval [-9, 2] is positive.
• The magnitude of the estimated average rate of change of the exponential function over the interval [-9, 2] is less than the magnitude of the estimated average rate of change of f (x) over the interval [-9, 2].
• The estimated average rate of change of both the exponential function and f (x) over the interval [-9, 2] is approximately 1.5.
• The magnitude of the estimated average rate of change of the exponential function over the interval [-9, 2] is greater than the magnitude of the estimated average rate of change of f (x) over the interval [-9, 2].
The correct answer is:
• The magnitude of the estimated average rate of change of the exponential function over the interval [-9, 2] is less than the magnitude of the estimated average rate of change of f (x) over the interval [-9, 2].