Domain of a Function Assignment 2022

MATHS
[DATE]

Question 1
(a) Domain
Domain of a given function is the argument value at which the function is well defined and
real.
Non-negative value for radicals
or
Merge overlapping intervals
Function is undefined points
Solution
Domain =
Interval Notation =
1

(b) If g(x) is an odd function which means it would be surely symmetric about the origin
Also,
Example:
(c) Graph of function
It can be seen that for every value of x in domain, there would be two values of y and hence,
it can be said that it is not a function of x.
2

(d) True
If
Let,
Now,
Which comes contradiction and hence, is TRUE.
(e) False
This sequence is bounded but has two limit and thus, it is divergent. Hence, it is FALSE
(f) False
Let
It is increasing sequence &
Therefore, it is convergent and hence, it is FALSE.
3