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Maximum number of possible extreme values for the function f(x)=x^4+x^3-7x^2-x+6

User Weiya Ou
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2 Answers

6 votes

Answer:

3

Explanation:

Maximum number of possible extreme values for the function f(x)=x^4+x^3-7x^2-x+6-example-1
User Kishor Ramani
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Polynomials of degree greater than 2 can have more than one max or min value. The largest possible number of minimum or maximum points is one less than the degree of the polynomial. The following examples illustrate several possibilities.

since the degree is 4
number of possible extreme values = 4 -1 = 3
User Vadim Kononov
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