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What is the domain of a function? What is the range of a function?
Apr 5, 2024 · This free step-by-step guide on how to find the domain and range of a graph will review key definitions, interval notation, and several examples of how to find domain and range of a graph expressed using interval notation.
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.
Domain is simply the permissions that are applied to the x-axis of a graph, meaning the Domain indicates where the graph can lie on the x-axis and where it cannot. Range on the other hand is the same as domain, except the permissions are applied to the y-axis of a graph, indicating where the graph can lie on the y-axis and where it cannot.
In other words, the domain is the set of values that we can plug into a function that will result in a real y-value; the range is the set of values that the function takes on as a result of plugging in an x value within the domain of the function.
Step 1: Find all intercepts. The x -intercept (s) are points (a, 0) where the graph of the function touches the x -axis. The y -intercept is a point (0, b) where the graph of the function...
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 of possible output values, which are shown on the y-axis.