Relations and Functions

Which of the following is a function from set A = {1, 2, 3} to set B = {4, 5, 6} ?

If R is a relation from set A = {1, 2} to B = {3, 4} defined as R = {(1,3), (2,4)}, which of the following is true?

Which of the following relations from A = {1, 2, 3} to B = {4, 5} is NOT a function?

If f(x) = 2x + 3, what is f(4)?

Let f: R → R be defined by f(x) = x². Is f one-to-one?

If f(x) = 3x - 2 and g(x) = x², what is (g ∘ f)(2)?

Which of the following is true about the function f(x) = 1/x?

If a function f: A → B is onto, then which of the following is true?

Consider f: {1, 2, 3} → {a, b} defined by f(1) = a, f(2) = a, f(3) = b. Is f one-to-one and/or onto?

If f(x) = ax + b is a linear function and f(1) = 5, f(3) = 9, find f(5).