CASE STUDY CHALLENGE
Relations & Functions: The Exhibition Swing
Rajesh, a student of Class-XII, visited an exhibition with his family. There he saw a huge swing and found that it traced the path of a parabola y = x2.
The following questions came to his mind. Answer the questions :
Answer the following:
| (i) | Let f : R → R be a function defined as f(x) = x2. Find whether f is one-one function. | [1] |
| (ii) | Let f : R → R be defined as f(x) = x2. Find whether f is an onto function. | [1] |
| (iii) | (a) Let f : N → N be defined as f(x) = x2. Find whether f is one-one function. Also, find if it is an onto function.
— OR —
(b) Let f : N → {1, 4, 9, 16, ……} defined as f(x) = x2, find where f is one-one function. Also, find if it is an onto function. |
[2] |