zeion said:Do I need a program to do it or can I do it by algebra..?
To determine if there is a function relation between two sets, you can use the vertical line test. If a vertical line drawn on a graph of the sets intersects the graph at only one point, then there is a function relation between the two sets.
The process for finding a function relation between two sets involves examining the elements in each set and determining if there is a one-to-one correspondence between them. This means that each element in one set is paired with exactly one element in the other set.
Yes, a function relation can exist between two sets even if they have the same elements. The key factor is the way in which the elements in one set are related to the elements in the other set.
To write a function relation between two sets as an equation, you can use the standard form of a function, which is y = f(x). The x values represent the elements in the first set and the y values represent the elements in the second set. You can then plug in the values from each set to create the equation.
A function relation refers to the relationship between two sets, where each element in one set is paired with an element in the other set. A one-to-one function, on the other hand, is a specific type of function where each input has only one output and each output has only one input. All one-to-one functions are function relations, but not all function relations are one-to-one functions.