How to find a function using domain and range in math?

Question

I want to find a function, given domain and range.
Example:

Domain Range
2      6
4      8
6      20
7      24

This is just an example. I want to know the method of creating functions regardless of the values in Domain and Range

Then how can I find a function using Domain and Range?

Any help will be appreciated :)

Answer 1

The table can be used to define the function and it is a completely correct definition.

If you are looking for a closed form, we can use for example polynomial interpolation.

Refer also to the following

• Explanation of Lagrange Interpolating Polynomial

Answer 2

你能通过你已知的函数，例如指数函数，对数函数，幂函数这些你很熟悉的函数进行配凑，因为你知道它的性质，在哪个区间增长或减少，然后合理添加常数进行配凑。我建议你先画出x -y坐标系,标记出domain and range 所在的矩形区域，再考虑用哪一个函数将它放入这个区域，使得这个函数在矩形区域内并且可以取到最大最小值。these are answered by chinese you are suggested to use google translator.

Translated From Google Translator:

You can use a function you know, such as an exponential function, a logarithmic function, a power function, a function that you are familiar with, because you know its nature, in which interval it grows or decreases, and then add a constant to match . I suggest that you first draw the x-y coordinate system, mark the rectangular area where the domain and range are located, and then consider which function to put it into this area, so that this function is in the rectangular area and can get the maximum and minimum