Given a polynomial function of degree 5, \(f(x) = 2x^5 - 3x^4 + 2x^3 - x^2 + 3x - 2\), find the maximum number of real roots that this function can have.

Step 1 ：By the Fundamental Theorem of Algebra, a polynomial of degree n will have exactly n roots. These roots can either be real or complex.

Step 2 ：Since the given function is a polynomial of degree 5, it will have exactly 5 roots. However, complex roots always occur in conjugate pairs. Therefore, if there are any complex roots, there will be an even number of them.

Step 3 ：Hence, the maximum number of real roots that the function can have is 5, which would occur if all of the roots are real and none are complex.