examday

/TMUA

$f(x)$ is a function defined for all real $x$.

Here are $3$ statements:

J: $f(3)=1$, and $f(5)=-2$

K: $f(x)=0$ has exactly $3$ solutions in the interval $3<x<5$

L: $f(x)=0$ has an odd number of solutions in the interval $3<x<5$

Here are $3$ more statements:

R: K is necessary for J

S: K is sufficient for J

T: L is necessary for J

Which of statements R, S and T are true?