The function is the special relation, in which elements of one set is mapped to only one element of another set. Hence, the parent function for this family is y = x2. The domain, or values of x, can be any real number. For example, a family of linear functions will share a common shape and degree: a linear graph with an equation of y = mx+ b. Explain Domain and Range of Functions with examples.Ans: The set of all values, which are taken as the input to the function, are called the domain. On a graph, you know when a function includes or excludes an endpoint because the endpoint will be open or closed. So, the range and domain of the reciprocal function is a set of real numbers excluding zero. Parent functions represent the simplest forms of different families of functions. The parent function, y =x^3, is an odd function and symmetric with respect to the origin. The parent feature of a square root function is y = x. Constant function f ( x) = c. Figure 2: Constant function f ( x) = 2. The graph reveals that the parent function has a domain and range of (-, ). That leaves us with the third option. 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