Given the function #f(x)==x^2/(4x+8)#, how do you determine whether f satisfies the hypotheses of the Mean Value Theorem on the interval [-3,-1] and find the c?

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Answer 1 · 2016-10-21T16:35:57

The mean value theorem is not applicable since #f(x)# is not continuous on the interval

#f(x)=x^2/(4x+8)#

The domain of #f(x)# is #RR-(-2)# since we cannot divide by 0:
#4x+8!=0#
#x!=-2#
So #f(x)# is not continuous on the interval (-3,-1)

So we cannot apply the Mean Value Theorem