Compare the estimated average rate of change for a quadratic function to the estima...
Check the final answer first, then review the worked steps.
Problem
Compare the estimated average rate of change for a quadratic function to the estimated average rate of change for an exponential function on a given interval.
Step-by-step solution
The average rate of change for the quadratic function on [0, 5] is $(90-0)/(5-0) = 18$. The average rate of change for the exponential function $y = -6^x$ on [0, 5] is $(-6^5 - (-6^0))/(5-0) = (-7776 - 1)/5 = -7777/5 = -1555.4$. Therefore, the quadratic function's average rate of change is greater.
Answer
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