Answer the following for the function whose graph $y=f(x)is$ depicted below.

$(a)$ List all critical points:

$(b)f(x)$ has vertical asymptote $at$:

$(c)At$ what value$(s)ofx$ does $f(x)$ have relative maximum?

$(d)$ List all intervals $on$ which $f(x)is$ increasing.

$(e)$ What $is$ the minimum value $off(x)on$ the interval $(-3,1)?$