Answer
(a) 2
(b) 0
(c) 4x0
d)Sketch of a graph
Work Step by Step
a) The average rate of change of y with respect to x over the interval [x0, x1] is:
--2
b) The instantaneous rate of change of y with respect to x at the specified value of x0 is:
--0
c) The instantaneous rate of change of y with respect to x at an arbitrary value of x0 is:
--4x0
d)The average rate of change in part (a) is the slope of a certain secant line, and the instantaneous rate of change in part (b) is the slope of a certain tangent line. Sketch the graph of y = f(x) together with those two lines.
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