If f(1) = 4 , f(2)=5, f(7) = 5 and f(8)=4, find the value of f(6).Also obtain the value of x for which f(x) is maximum or minumum.
I don't have a clue what to do
Is this the complete problem? I mean f(6) can be anything really; I am also assuming you are meant to notice that f(x) is continuous, and thus a local maximum must occur between f(5) and f(7) - or hell f(5) and f(7) could be the local maximum and the graph dips btween f(5) and f(7). I dunno, theres a lot that can be going on here. Is this all the information - was there a picture to go along with this question?
It is a carelessly-worded problem.
As stated, there is an infinite number of possible answers.
Graph the given points . . .If
Find the value of
Also find the value of x for which is maximum or minumum.
Code:| 5 + * * | : : 4 + * : : * | : : : : | : : : : | : : : : . . + - + - + - - - - + - + - - - - - | 1 2 7 - 8 |
From the symmetry, I would guess that
. . we are expected to assume is a parabola.
The general parabola is: .
And we can determine that: .
Hence, the function is: .
Now you can answer their question . . .