Question

f: R----> R is a function, f(x) = x^2 + 1



 one one onto

 one one into

 many one onto

 many one into​

Answer 1

Answer:

Step-by-step explanation:

Graphically, if a line parallel to x axis cuts the graph of f(x) at more than one point then f(x) is many-to-one function and if a line parallel to y-axis cuts the graph at more than one place, then it is not a function.

For a one-to-one function

If x1 ≠ x2 then f(x1) ≠ f(x2)

or if (x1) = f(x2) => x1 = x2

One-to-one mapping is called injection (or injective).

Mapping (when a function is represented using Venn-diagrams then it is called mapping), defined between sets X and Y such that Y has at least one element 'y' which is not the f-image of X are called into mappings.

Let a function be defined as: f : X → Y

Where X = {2, 3, 5, 7} and Y = {3, 4, 6, 8, 9, 11}