Find a polynomial function of lowest degree, with real coefficients, with the given roots. roots: -4, i, 5

a) f(x) = x^4 - x^3 - 19x^2 - x - 20
b) f(x) = x^4 + x^3 - 19x^2 + x - 20
c) f(x) = x^3 - (1 + i)x^2 - (20 - i)x + 20i
d) f(x) = x^3 + (1 + i)x^2 - (20 + i)x + 20i

The correct option is 4. The domain of the function are all real numbers greater than or equal to –3.

Step-by-step explanation:

Domain is the set of all possible inputs or x-values, for which the given function is defined.

The given graph is defined form -3 to positive infinity. The point -3 included in the set of input because there is a closed circle at x=-3.

So, domain of the function are all real numbers greater than or equal to –3.

Therefore the correct option is 4.