![]() The range of the polynomial function depends on the function itself. Type of functionĪs stated in the table, the domain of any polynomial function f is \. The notation D( f ) means the domain of the function f. In these examples we will use the letter D to mean the domain of the function. ![]() Let us look at the domain and range of some common types of function. The largest possible range of a function is \. The domain and range of many functions are subsets of the set of real numbers. The range of the function is a set which includes at least all the images of the elements in its domain. DOMAIN AND RANGE OF A FUNCTION Unless stated otherwise, the domain of a function f(x) is the largest set of real x-values for which f(x) is defined. A is the domain and B is the range of f.Ī. We can write this function in different ways: f(x) = x2, y = x2 or f: x → x2. The set of images of all the elements of D is called the image set of f.Ĭonsider the function f: A → B, f(x) = x2. x is called the variable of f and y = f(x) is called the image of x. A function from a set D to a set R is a rule that maps each element of D to a single element of R.ĭomain range O For each x in D there exists a single element y in R such that f(x) = y.
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