Can a function have more than one root?

A function can indeed have multiple roots, which is why the statement that functions can have multiple roots is accurate. In mathematics, a root of a function is a value for which the function evaluates to zero.

For example, consider the polynomial function ( f(x) = x^2 - 4 ). This function has two roots, ( x = 2 ) and ( x = -2 ) since both values make the equation equal to zero. Similarly, higher-degree polynomials can have multiple roots, and non-polynomial functions like trigonometric functions can also have an infinite number of roots depending on their periodicity.

In contrast, a linear function (which is a first-degree polynomial) can only have one root unless it is a constant function (which has no roots). Quadratic functions can have zero, one, or two roots depending on their discriminant. Therefore, acknowledging that functions can have multiple roots is a key understanding in analyzing different types of functions in mathematics.