The zero multiplicity of the polynomic equation is now summarized: (x = - 3): 1, (x = - 2): 1, (x = 1): 1
And the domain and the range of the function are the set of all real numbers.
How to determine the multiplicity of all zeroes of the polynomial
In this problem we find the representation of a polynomic equation on Cartesian plane, whose zeroes are also shown. Zeroes are the roots of the polynomial and zero multiplicity indicates how many times a zero is repeated. We notice that domain is represented by all values along the horizontal axis (x-axis) and range is represented by all values along the vertical axis (y-axis). By function theory, both domain and range of polynomic functions are the set of all real numbers.
Thus, by direct inspection, we notice that zeroes and their multiplicity are, then:
Zeroes of the polynomial:
X = {- 3, - 2, 1}
Multiplicity of the polynomial zeroes:
(x = - 3): 1
(x = - 2): 1
(x = 1): 1
And the domain and range of the function are, respectively:
Domain: All real numbers.
Range: All real numbers.