The domain of a function is the set of all values for which the function is defined, while the range of a function is the set of all values that the function takes. In other words, the domain is the set of all possible inputs of a function, while the range is the set of all possible outputs.
To find the domain of a function, we need to determine the set of values that we are allowed to plug into the function. This set is typically the x-values in a function such as f(x) . For example, if we have a function that involves division by zero, then we need to exclude the value(s) of x that would make the denominator zero from the domain.
Finding the range of a function can be a bit trickier than finding the domain. Most of the time, we need to look at the graph of the function to determine its range. The range is the set of all possible output values of a function. For example, if we have a function that involves a square root, then the range would be all non-negative real numbers or zero.
In summary, the domain of a function is the set of all possible inputs, while the range is the set of all possible outputs. To find the domain, we need to determine the set of values that we are allowed to plug into the function, while to find the range, we need to look at the graph of the function to determine its set of possible output values.
