If a function is undefined at a point, can that point be in its domain? Explain.
https://www.mathsisfun.com/sets/domain-range-codomain.html
So, no
If a function is undefined at a point, that point cannot be in its domain. The domain of a function consists of all the possible input values for which the function is defined and has a meaningful output.
To explain further, when we talk about the domain of a function, we are looking at the set of values that we can substitute into the function to get a valid result. If a point is in the domain of a function, it means that we can input that value into the function and obtain a meaningful output.
However, if a function is undefined at a particular point, it means that the function does not have a valid output for that specific input value. This could occur due to various reasons, such as a division by zero, taking the square root of a negative number, or evaluating a function at a point where it is not defined.
Therefore, the point at which a function is undefined cannot be included in its domain. The domain of a function represents the set of values for which the function is defined and has a valid output.