Question

Describe the number and nature of the roots of the function. (You may want to view the graph ofthe function to help you identify the nature of the roots)O 5 real and 5 non-real roots.O 4 real and 1 non-real roots.O 5 real and O non-real roots.O 1 real and 4 non-real roots.

Answer 1

Given the following function:

`f(x)=x^5-4x^3+4x+3`

we have tha the graph of f(x) is the following:

notice that the graph only intersects the x-axis one time. Since the function is a polynomial function of degree 5, we have that f(x) must have 1 real root and 4 non real roots