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bahadeen
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I need explanation
View attachment 4231
View attachment 4231
The domain of a function is the set of all possible input values, or independent variables, for which the function is defined. The range is the set of all possible output values, or dependent variables, that the function can produce.
Understanding the domain and range of a function is important because it helps us determine the validity and limitations of the function. It also allows us to identify any potential restrictions or asymptotes in the graph of the function, and to make predictions about its behavior.
To find the domain of a function, you need to identify all possible values that the independent variable can take on. This may involve looking for any restrictions or limitations stated in the problem, or considering the type of function and its behavior. The range can be found by examining the output values of the function, or by using techniques such as graphing or finding the inverse of the function.
Yes, the domain and range of a function can be infinite, meaning there is no limit to the possible input and output values. This is often the case with linear and quadratic functions, as well as trigonometric functions.
The domain and range of a function have a direct impact on its graph. The domain determines the horizontal extent of the graph, while the range determines the vertical extent. Restrictions or limitations in the domain or range can cause breaks, gaps, or asymptotes in the graph. Knowing the domain and range can also help us sketch the graph of a function accurately.