Algebra Test - ...

Let A = {4, 8, 16, 32, 64} and B = {1, 2, 3, 4, 5, 6, 7, 8} and R be the relation "is square of" from A to B. Which of the following represents relation R in roster form?

Consider A = {1, 2, 3, 4, 5, 6}, B = {7, 8, 9, 10, 11} and R = {(a, b): a A, b B and a + b is a prime number}. Find the domain of R.

Consider P = {1, 3, 5, 7, 9}, Q = {10, 12, 15, 20, 25, 30} and R = {(a, b), a P and b Q and 5a = b}. Find the range of R.

If M = {12, 13, 15, 17}, N = {6, 9, 11, 13, 15} and R is relation "divisible by" from P to Q, which of the following represents relation R.

Let A = {2, 3, 5}, B = {4, 5, 6, 7} and R = {(a, b); a A, b B and a b is an even number.}. Find the range of R.

Let A = {a: a - 1 2, a positive integers} and B = {4, 5, 6, 7, 8}.
Which of the following represents R = {(a, b): a A, b B and 2a + 3 > b}?

Which of the following is not the mapping from A to B?

Let f : x x³, where x P = {2, 4, 5}. Find the function f.

Which of the following is a function?

If f : p 4p² - 1, where p P = {- 1, - 2, 0, 1, 2}, and Q is the set of images of the elements of P, find the range of f.

If A = {0, 1, 2, 3, 4}, B = {6, 7, 8, 9} and R = {(x, y): x A, y B and 5x – y 10}, which of the following is correct arrow diagram for the relation R?

Find the domain and range from the following arrow diagram.

If f : x 6x² + 5, where xP = {- 1, 0, 2} and Q is the set of images of the elements of P, find the range of f.

Consider A = {10, 12, 15} and B = {2, 3, 4, 5, 6}. Represent the relation "a multiple of" from the set A to the set B in roaster form and in an arrow diagram.

Which of the following is a mapping?