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.
For an algebraic function in one variable, as many as the highest power of the variable.
Any graph of a mapping which is one-to-one or many-to-one but not one-to-many.
two
No. By definition, f(-x) = f(x) so that it is many-to-one.
Vv
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.
One function. A enzyme is particular about it's substrate, so the enzyme can catalyze one reaction by lowering that reaction's activation energy.
A function is a mapping from a set, called the domain, to a set (which may be the same) called a co-domain or range such that for each element in the domain, there is at most one element in the co-domain. Another way of stating the last bit is that the mapping can be one-to-one or many-to-one but 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.