Question

-.13 Consider the polynomial function f(x) = x - 9x + 23x - 15 re(-20,) A) f(x) assumes every real value at least once. B) f(x) | is differentiable everywhere. C) f(x) has a local minimum in the interval 3 S. 55

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Solution

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( f(x)=x^{3}-9 x^{2}+23 x-15 ) ( b^{prime}(x)=3 x^{2}-18 x+23=0 ) ( x_{1}=4.15, x_{2}=1.84 ) [ begin{array}{l}6left(x_{1}right)