I'm learning about set notation. What is the difference between a co-domain and an image?
In mathematics, the terms "co-domain" and "image" are related to the concept of a function, which is a rule that assigns an output value to each input value.

The co-domain of a function is the set of all possible output values that the function can produce. It is usually defined as a part of the function's definition, and it can be larger than the set of actual output values (i.e., the image) produced by the function. In other words, the co-domain represents the set of all possible values that the function could output, whether or not those values are actually output for any specific input value.

The image of a function, on the other hand, is the set of all actual output values that the function produces when given a particular set of input values. In other words, the image is the subset of the co-domain that actually gets used by the function for some input values. It is the set of all possible values that the function actually outputs for some input values.

To summarize, the co-domain is the set of all possible output values that a function can produce, while the image is the set of actual output values that the function produces for some input values.