SOLUTION: Given the function f(x)= x / x-2
a. Determine the average rate of change on the interval -4≤ x ≤-1
b. Is it possible to determine the instantaneous rate of change at x=2 ?
E
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a. Determine the average rate of change on the interval -4≤ x ≤-1
b. Is it possible to determine the instantaneous rate of change at x=2 ?
E
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Question 1162196: Given the function f(x)= x / x-2
a. Determine the average rate of change on the interval -4≤ x ≤-1
b. Is it possible to determine the instantaneous rate of change at x=2 ?
Explain why or why not.
Average rate of change on an interval: Calculate the function value for each of the endpoints giving you two ordered pairs. Calculate the slope of the line defined by those two ordered pairs. You cannot determine the instantaneous rate of change at a point where the function is not defined. Since the denominator is zero at x = 2, the functions not defined at x = 2.
John
My calculator said it, I believe it, that settles it
