What is the maximum number of possible extreme values for the function, F(x)=x^3-7x-6
2 answers:
Answer:
The maximum number of possible extreme values for the function,
is:
2
Step-by-step explanation:
By the Theorem of extreme values of a polynomial function we have:
The graph of a polynomial equation of degree n has atmost ( less than or equal to) "n-1" extreme values ( i.e. minima and/or maxima).
That means the total number of extreme values could be n-1, n-3, n-5 etc.
Hence, here we have a polynomial equation as:
i.e. we have a polynomial function of degree 3 i.e. n=3
So, the maximum number of possible extreme values that may exits is: 2
( Since n-1=3-1=2)
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