What is the domain and range of an inequality relation on the real numbers? How does the concept of domain and range relate to the idea of well-definedness of a function?

Jul 5, 2018 ... Understand the domain and range of a function. The domain is the set of all values that can be input into a function and the respective ... The domain of a function f(x) is the set of all values of x for which the function is also real-valued. The range of f(x) is the set of all values of f ... For any exponential function, f(x) = abx, the domain is the set of all real numbers. The range, however, is bounded by the horizontal asymptote of the graph of ... Both functions will have the same domain; that of the original circle, given by $$−1≤ x ≤5. The range of $$ f becomes $$5≤ y ≤ ... Wolfram|Alpha is a great tool for finding the domain and range of a function. It also shows plots of the function and illustrates the domain and range on a ... The range of any polynomial function of odd degree is y=(−∞,∞). The range of a polynomial function of even degree is bounded either from below or above because ... 1. Determine the type of function you're working with. The domain of the function is all of the x-values (horizontal axis) that will give you a valid y-value ... Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set ... Jan 5, 2013 ... intercepts, domain and range, and whether it is increasing, decreasing or ... function, expression or equation (e.g. linear, polynomial, rational,. I do not have any problem plotting Cos and ArcCos individually as shown below in the following two plots - see attached. However when I try to combine the two ...