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Which is the best estimate for the average rate of change for the quadratic function graph on the interval 0 ≤ x ≤ 8?

1 Answer

4 votes

Answer:

The average rate of change is 0

Explanation:

Given

See attachment for graph

Required

The average rate function for
0 \le x \le 8

The average rate function (m) is calculated as:


m = (f(b)-f(a))/(b - a)

for
a \le x \le b

So, we have:


a =0


b = 8

This gives:


m = (f(b)-f(a))/(b - a)


m = (f(8) - f(0))/(8 - 0))


m = (f(8) - f(0))/(8)

From the attached plot;


f(8) =0


f(0) = 0

So, we have:


m = (f(8) - f(0))/(8)


m = (0)/(8)


m = 0

Which is the best estimate for the average rate of change for the quadratic function-example-1
User BritishSam
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