Question

if f(n)=6+10x-7n²,find f(1) and f(-1)?​

Answer 1

Answer:

f(1)=9

f(-1)=-11

hope it helps ..

Answer 2

Answer:

Assuming there is a function f(x) that matches your requirements, then also f(x)+c matches your requirements, because all contraints only depend on f′(x) .

This is because the following statement is true: ddx(f(x)+c)=ddxf(x)=f′(x)

So...

If we could find a function f(x) with f′(3)=10 and f′(6)=7 , the value at f(6) could be anything, because f(x)+c is also a valid solution.

Of course, first we have to check if such a function exists. Let us assume it is a polynomial (but there are many more functions that match your requirements):

f(x)=ax2+bx+c