Knowledge$/$Understanding $(10$ marks$)$

Choose the best answer and indicate your answer on the line provided.

$q,1.$ The function $f(x)=4-x^2$ increases on which interval?

a$.x>2$

c$.x>0$

b

$d.x<mn>0</mn>$

$2.$ When does the function $f(x)=x(x-1{)}^2$ have a local minimum?

$a.(0,0)$

$c.(1,0)$

$b.(1,1)$

$d.(-1,0)$

$3.$ The vertical asymptotes $off(x)=\frac{1}{x^3-x^2}$ are

$a.x=0$ and $x=1$

$c.x=1$ and $x=2$

$b.x=1$ and $x=-1$

$d.x=0,x=1,$ and $x=-1$Q