Suppose that f24 and f37 Determine f2 and f3 if f is an odd

Suppose that f(-2)=4 and f(3)=7. Determine f(2) and f(-3) if f is an odd function.

Solution

We have the property of odd function :-

A function is \"odd\" when:

f(x) = f(x) for all x

Now given f(-2) = 4

hence we have , -f(2) = f(-2) \\

=> - f(2) = 4

=> f(2) = -4

And -f(3) = f(-3)

=> - 7 = f(-3)

=> f(-3) = -7