Relations and F...

If f (x) =√-x, then domain of fof is

Which of the following is/are not defined at x = 0?
a. 1/x
b. x²/x
c. x³/x
d. x³/x²

The function f (x) = x + cos x

Which of the following is the most appropriate way to represent the equality of ordered pair?

Let x be any real, then [x + y] = [x] + [y] holds for

If f(x) and g(x) are two functions, then which of the following operations may increase the domain of the resulting function?

Which of the following statements are false?

a. Every function is a relation, but every relation is not a function.
b. Every relation is a function, but every function is not a relation.
c. There is no relation between functions and relations.
d. Function is just another name of relation.

Which of the following statements defines any relation R between two sets A and B most appropriately?

If P and Q are two non-empty sets, then which of the following statements defines cartesian product most appropriately?

Let A and B be two given sets, then in order to define a relation on these two sets which of the following must hold?

If, f is a function from A to B, then for a  A and c, d  B, f(a) = c and also f(a) = d, then

Which of the following is/are graph(s) of f(x) = x²?

Which of the following graphs will give all the real numbers as its values?

Which of the following relations is/are function(s)?

If set A = {1, 4, 8, 2} and set B = {3, 6}, then which of the following is A  B?

If there are p elements in set A and q elements in set B, then number of elements in A ´ B are always equal to

Which of the following is a relation from set A = {1, 6, 8} to set B = {3, 6, 9}?

If f (x) = tan x, −π2

Which of the following statements are true?
a. Every real function has a graph.
b. Graph of a real function is a subset of R^2_.
c. Graph of a quadratic polynomial is always a parabola.
d. The graph of a general polynomial does not have a break in it.

Which of the following statements is/are true?

Which of the following could be the graph of a polynomial?

Let N be the set of natural numbers. Define a function f : N  N by f (x) = 2x + 1. Using this definition, which of the following values cannot be obtained?

Which of the following statements can be used to define a function f, from a set A to set B?
a. A relation from set A to set B is said to be a function, if every element of set A has one and only one image in set B.
b. A relation from set A to set B is said to be a function, if every element of set A has a unique image in set B.
c. If, f is a function from A to B, then for a  A and c, d  B, then if f(a) = c and also f(b) = d, then c  d.

The diagram given below shows that