Step-by-step explanation:
The given absolute value expression is

This absolute value function is of the form

where (h,k)=(-3,-1) is the vertex.
This function opens upwards, hence the the minimum point is (-3,-1)
The domain is the values of x for which the function is defined.
The domain is all real numbers.
The range is the values of y for which x is defined.
The is y≥-1 because the minimum value is -1.
The graph is shown in attachment.
Hello from MrBillDoesMath!
Answer:
x^4 - x^3 - 9 x^2 + 9 x
Discussion:
A Quartic polynomial is of degree 4. The polynomial is:
(x-0)(x- (-3))(x-1)(x-3) =
x^4 - x^3 - 9 x^2 + 9 x
Thank you,
MrB