Determine its range and domain. Solution: This is a quadratic graph, so it stretches horizontally from negative infinity to positive infinity. That means that the domain is all real numbers of x. We also see that the graph extends vertically from 5 to positive infinity. Therefore, the range is all real numbers of y and y≥5 y ≥ 5. domain: The set of all points over which a function is defined. range: The set of values the function takes on as output. function: A relationship between two quantities, called the input and the output; for each input, there is exactly one output. Domain is what is put into a function, whereas range is what is the result of the function with the domain value. Summary. 1. Domain and range are prime factors that decide the applicability of mathematical functions. 2. Domain is the independent variable and range is the dependent variable. 3. Thus, the range of a function is always a subset of its co-domain. For the above function f(x) = x2 f ( x) = x 2 , the range of f f is given by. Range(f) = R+ = {x ∈ R|x ≥ 0}. Range ( f) = R + = { x ∈ R | x ≥ 0 }. Figure 1.14 pictorially shows a function, its domain, co-domain, and range. The figure shows that an element x x in the Here we will discuss about domain, co-domain and range of function. Let : A → B (f be function from A to B), then Set A is known as the domain of the function ‘f’ Set B is known as the co-domain of the function ‘f’ Set of all f-images of all the elements of A is known as the range of f. Thus, range of f is denoted by f(A). Note: ZWSAb0z. Domain, Range, and Co-domain are three common terms used in a function. A function relates an input to an output. In simple terms, the domain is the set of values that go into the function, the range is the values that come out of a function, and the codomain is the values that may possibly come out. Another way to identify the domain and range of functions is by using graphs. 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 x -axis. The range is the set of possible output values, which are shown on the y y -axis. Keep in mind that if the graph continues First, let's define a function: A function is a relationship between the #x# and #y# values, where each #x#-value or input has only one #y#-value or output. Domain: all x-values or inputs that have an output of real #y#-values. Range: the y-values or outputs of a function. For example, For more information, feel free to go to these following Domain and Range of Tangent Function. y = f (x) = tan(x) y = f ( x) = t a n ( x) Domain of Tangent Function: It is defined for all real values of x except x ≠ (2n + 1) (π/2) where n is any integer. Range of Tangent Function: All the real numbers. Period of Tangent Function: π. It is a odd function. The range of a function is the set of values that can be produced by a function, while the domain of a function is the set of values that can be used as inputs to the function. Those are the

meaning of domain and range