What should be the function?

Question

Mathematics

Hello!
The question is: you need to find the function of this straight line ... This is a straight line with points (4, 0.5), (4, 1), (4, 1.5), (4, 2), that is, it does not go further: 2.0 -- end point along the y -axis . Which function y(x) fits under it has already broken his head.
Please tell me what function should turn out ... Or poke your nose where to look for a solution to such a problem.
Thanks in advance!

Answer 1

I think something like this:

Answer 2

a function is a correspondence between the elements of two sets, established according to such a rule that each element of one set is associated with some [one] element from the other set.
Therefore, there cannot be such a functiony(x)in which one value of the argumentxcorresponds to different values ​​of the functiony, as you have(4, 0.5), (4, 1), (4, 1.5), (4, 2).
But it could well existx(y), the graph of which would pass through these points.

Answer 3

The function should be f(t) = p1 * t + (1 - t) * p2, where p1 = (4,0), p2 = (4, 2) and t between (0..1)