SOLUTION: Determine the average rate of change of the function between the given values of the variable.
f(x) = 4-x^2; x=1, x= 1 + h
I came out with h(-h-2)
Thank you so much!
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-> SOLUTION: Determine the average rate of change of the function between the given values of the variable.
f(x) = 4-x^2; x=1, x= 1 + h
I came out with h(-h-2)
Thank you so much!
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Question 44922This question is from textbook College Algebra
: Determine the average rate of change of the function between the given values of the variable.
f(x) = 4-x^2; x=1, x= 1 + h
I came out with h(-h-2)
Thank you so much! This question is from textbook College Algebra
Determine the average rate of change of the function between
the given values of the variable.
f(x) = 4-x^2; x=1, x= 1 + h
I came out with h(-h-2)
Thank you so much!
No, I'm afraid that's not correct:
The forumla for the rate of change of f(x) between the values
x=a and x=b is
f(b) - f(a)
Average rate of change = -------------
b - a
a = 1, b = 1 + h
f(b) = f(1+h) = 4 - (1+h)² = 4 - (1+h)(1+h) = 4 - (1+2h+h²) =
= 4 - 1 - 2h - h² = 3 - 2h - h²
f(a) = f(1) = 4 - 1² = 4 - 1 = 3
So
f(b) - f(a) 3-2h-h² - 3 -2h-h²
Average rate of change = ------------- = ------------- = -------- =
b - a (1+h) - 1 1+h-1
-2h - h² -2h h²
---------- = ----- - ---- = -2 - h
h h h
Edwin
