A polynomial function, in general, is also stated as a polynomial or polynomial expression, defined by its degree. Sketch a graph of \(f(x)=2(x+3)^2(x5)\). How many turning points are in the graph of the polynomial function? Over which intervals is the revenue for the company increasing? The graphs of \(g\) and \(k\) are graphs of functions that are not polynomials. We can use this method to find x-intercepts because at the x-intercepts we find the input values when the output value is zero. Determine the end behavior by examining the leading term. For general polynomials, this can be a challenging prospect. We can even perform different types of arithmetic operations for such functions like addition, subtraction, multiplication and division. See Figure \(\PageIndex{14}\). This means we will restrict the domain of this function to [latex]0