a function is a one-to-one and many-to one relation
1. One to One -function- 2. One to Many -relation- 3. Many to Many -function-
A function is a relationship that is one-to-one or many-to-one but not one-to-many. Thus, if a and b are in the domain of the function, then their images in the range, f(a) and f(b) MUST be equal.
It is a surjection.
For an algebraic function in one variable, as many as the highest power of the variable.
two
No. By definition, f(-x) = f(x) so that it is many-to-one.
No. If the function has more than one x-intercept then there are more than one values of x for which y = 0. This means that, for the inverse function, y = 0 should be mapped onto more than one x values. That is, the inverse function would be many-to-one. But a function cannot be many-to-one. So the "inverse" is not a function. And tat means the original function is not invertible.
person`s function is to love one another to have a many friends
The answer, for y as a function of x, depends on the range of y. Over the real numbers, it is not a function because a function cannot be one-to-many. But it is always possible to define the domain and range in such a way that the mapping in not one-to-many.
5
No. It's not really a "function" at all, properly speaking, and if we bend the interpretation a little then it's a many-to-one function, since no matter what the input value is, the output is 4.
A set of ordered pairs, can also be tables, graphs, or a mapping diagram
One.
They carry out one function.
B- It is a many-to-one function
One.