0
Still curious? Ask our experts.
Chat with our AI personalities
Fran
Ezra
RossAdd your answer:
Earn +20 pts
What is the relation in which each element in the domain is mapped to exactly one element the range?
It is an invertible function.
How does the domain relate to a function?
Any function is a mapping from a domain to a codomain or range. Each element of the domain is mapped on to a unique element in the range by the function.
What is an inverse relationship between x and y?
That depends on the original relation. For any relation y = f(x) the domain is all acceptable values of x and the range, y, is all answers of the function. The inverse relation would take all y values of the original function, what was the range, and these become the domain for the inverse, these must produce answers which are a new range for this inverse, which must match the original domain. IE: the domain becomes the range and the range becomes the domain. Ex: y = x2 is the original relation the inverse is y = =/- square root x Rules to find the inverse are simple substitute x = y and y = x in the original and solve for the new y. The notation is the original relation if y = f(x) but the inverse is denoted as y = f -1(x), (the -1 is not used as an exponent, but is read as the word inverse)
Is it true in a relation for each element of the domain there is only one corresponding element in the range?
Is it true that in a relation for each element of the domain there is only one corresponding element in the range
What is the domain and range for the following function and its inverse f of x equals -x plus 5?
The function is a simple linear function and so its nature does not limit the domain or range in any way. So the domain and range can be the whole of the real numbers. If the domain is a proper subset of that then the range must be defined accordingly. Similarly, if the range is known then the appropriate domain needs to be defined.
