Asked by ger
What is the simplified form for the Average Rate of Change of the function f(x)= x^2 between x=−1 and x=−1+h?
Answers
Answered by
Reiny
Average Rate of Change
= (f(-1+h) - f(-1))/(-1+h - (-1))
= ( (h-1)^2 - (-1)^2)/h
= (h^2 - 2h + 1 - 1)/h
= h - 2
= (f(-1+h) - f(-1))/(-1+h - (-1))
= ( (h-1)^2 - (-1)^2)/h
= (h^2 - 2h + 1 - 1)/h
= h - 2
Answered by
ger
could you explain the steps you took?
Answered by
oobleck
you really need to review what the average rate of change means. It is the slope of the secant line.
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