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baokhuyen
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Homework Statement
how to find the domain of an vector function?
A vector function is a mathematical function that takes in one or more variables and outputs a vector. It can be thought of as a mapping from a set of input values to a set of output vectors.
The domain of a vector function is the set of all input values for which the function is defined. In other words, it is the set of all possible values that can be plugged into the function.
To find the domain of a vector function, you need to consider any restrictions on the variables in the function. For example, if the function contains a square root, the input must be a non-negative number. Any values that do not meet these restrictions are not part of the domain.
The domain of a vector function determines the range of values that the function can output. It is important to find the domain to ensure that the function is well-defined and to understand the behavior of the function.
Yes, the domain of a vector function can be infinite. This means that there are an infinite number of input values that can be plugged into the function and produce an output. However, there may still be restrictions on the type of values that can be used as inputs.