$f\left(x\right)$is cubic polynomial with $f\left(x\right)=18andf\left(1\right)=-1$. Also $f\left(x\right)$has local maxima at $x=-1and{f}^{prime}\left(x\right)$has local minima at $x=0$, thenthe distance between $\left(-1,2\right)and\left(af\left(a\right)\right),$where $x=a$is the point of local minima is $2\sqrt{5}$$f\left(x\right)$is increasing for $x\in \left[1,2\sqrt{5}\right)$$f\left(x\right)$has local minima at $x=1$the value of $f\left(0\right)=15$

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