Final answer:
The function f(x) = x^2 - 3x - 5 is a quadratic function.
Step-by-step explanation:
The given function is f(x) = x^2 - 3x - 5, which is a quadratic function.
A quadratic function is a second-order polynomial with the form ax^2 + bx + c, where a, b, and c are constants. In this case, a = 1, b = -3, and c = -5.
Quadratic functions have a graph that is a parabola, and they can have a maximum or minimum point depending on the coefficient a. In this function, since a = 1, it opens upwards and has a minimum point.