Let f(x) = (X - 3)^-2, Find all values of c in (1, 7) such that f(7) - f(1) = f(
ID: 2850056 • Letter: L
Question
Let f(x) = (X - 3)^-2, Find all values of c in (1, 7) such that f(7) - f(1) = f(c)(7 - 1). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) c = Based off of this information, what conclusions can be made about the Mean Value Theorem? This contradicts the Mean Value Theorem since f satisfies the hypotheses on the given interval but there does not exist any con (1, 7) such that This does not contradict the Mean Value Theorem since f is not continuous at x = 3. This does not contradict the Mean Value Theorem since f is continuous on (1, 7), and there exists a con (1, 7) such that f(c) = This contradicts the Mean Value Theorem since there exists a con (1, 7) such that f?(c) = ?, but f is not continuous at x = 3. Nothing can be concluded.Explanation / Answer
solution:
f(x)=(x-3)-2
f(1)=(1-3)-2= (-2)-2=1/(-2)2 =1/4
f(7)= (7-3)-2 =4-2 =1/4^2=1/16
f(7)-f(1)=1/16-1/4=-3/16
f(1)not equal f(7)
f'(c)=-2/(x-3)3 =f'(6)=-2/33=-2/27=DNE
it contradicts mean value theorem
option(1)
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