# Math Help - Which is max min

1. ## Which is max min

If $f(1)=4,f(2)=5,\ f(7)=5,\ f(8)=4$, find the value of $f(6)$. also obtain the value of $x$ for which $f(x)$ is maximum or minimum

2. Originally Posted by zorro
If $f(1)=4,f(2)=5,\ f(7)=5,\ f(8)=4$, find the value of $f(6)$. also obtain the value of $x$ for which $f(x)$ is maximum or minimum
There is insufficient information on $f$ to do anything useful with this.

You could assume assume a quadratic form for $f$, then fit it to the data. As the data is symetric about $x=4.5$, $f$ would then be of the form:

$f(x)=k(x-4.5)^2+b$

Now determine $k$ and $b$ from the given data.

.