If A = {1,3,5} and B = {2,3} then
(i) find A x B and B x A
(ii) Is A x B = B x A? If not why?
(iii) Show that n(A x B) = n(B x A) = n(A) x n(B)

If A x B = {(3,2), (3, 4), (5,2), (5, 4)} then find A and B.

Find A x B, A x A and B x A
A = {2, -2, 3} and B = {1,-4}

Let A = {3,4,7,8} and B = {1,7,10}. Which of the following sets are relations from A to B?
R₁ = {(3,7), (4,7), (7,10), (8,1)}

The arrow diagram shows a relationship between the sets P and Q. Write the relation in
(i) Set builder form
(ii) Roster form
(iii) What is the domain and range of R.

Let X = {3, 4, 6, 8}. Determine whether the relation R = {(x, f(x)) | x \(\in \) X, f(x) = x² + 1}. is a function from X to N?

Let f(x) = 2x + 5. If x ≠ 0 then find \(\frac { f(x+2)-f(2) }{ x } \).

A function f is defined by f(x) = 3 - 2x. Find x such that f(x²) = (f(x))².

A plane is flying at a speed of 500 km per hour. Express the distanced travelled by the plane as function of time t in hours.

Using vertical line test, determine which of the following curves (Fig.1.18(a), 1.18(b), 1.18(c), 1.18(d)) represent a function?