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

Results 1 to 2 of 2

- Jan 7th 2009, 12:13 AM #1

- Joined
- Dec 2008
- From
- Mauritius
- Posts
- 523

- Jan 7th 2009, 11:14 PM #2

- Joined
- May 2006
- Posts
- 244

There is insufficient information on $\displaystyle f$ to do anything useful with this.

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

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

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

.