Suppose we have a function $f(x)$ with continuous first derivative, some of whose values are expressed in the following table:

$\backslash$table$[[x,0,1,2,3,4,5,6],[f^{\text{'}}(x),3,4,3,1,4,8,9]]$

The value of the function $f$ near $x=3$ is:

A$.$ increasing

B$.$ staying constant

C$.$ decreasing

There is a local minimum when $x$ is between which two points?

A$.5$ and $6$

B$.3$ and $4$

C$.6$ and $7$

D$.7$ and $8$

E$.4$ and $5$

E$.8$ and $9$The value of the function $f$ near $x=7$ is:

A$.$ staying constant

B$,$ increasing

C$.$ decreasing

There is a local maximum when $x$ is berween which rwo points?

A$.7$ and $8$

B$.2$ and $3$

C$.5$ and $6$

D$.0$ and $1$

E$.6$ and $7$

E$.9$ and $10$

G$.3$ and $4$

H$.4$ and $5$

I. $1$ and $2$

$$ J$.8$ and $9$