TRUE OR FALSE:

$($i$)4.$ If $f(x)$ is a continuous function defined on the closed interval $-3,0$ and $f(-3)=5$ and $f(0)=2,$ then there must be some $c$ in $(-3,0)$ such that $f(c)=\frac{15}{12}.$

$($i$)5.$ If $f(x)$ is a continuous function defined on the closed interval $6,9$ and $f(6)=7$ and $f(9)=-2,$ then there must be some $c$ in $\frac{?}{\text{b}\text{a}\text{r}}((6,9))$ such that $f(c)=0.$

$($i$)6.$ If $f(x)$ is a continuous function defined on the closed interval $-4,-1$ and $f(-4)=1$ and $f(-1)=-5,$ then the equation