The domain and range of h (t) = cot t

Domain is all real except nPi values for +-n

Range is (-infinity, infinity)

cot(t) = Cos(t)/Sin(t) where Sin(nPi) is zero, so the Domain cannot have these values.

The correct Option is (A) (x-1)(x-3)(x-5)

Explanation:
As you can see in the graph that the graph intersects the x-axis at 3 points which are:

x = 1;
x = 3;
x = 5.

So the correct polynomial product is:
(x-1)(x-3)(x-5)

Because if we put them equals to zero we would get:
x-1=0
=> x=1

x-3 = 0
=> x = 3

x-5 = 0
=> x = 5(same as stated above)

Hence the correct option is (A) (x-1)(x-3)(x-5)