1. If f(x) = f (x) ⇒ x= x∀ xx∈ A then the function f: A → B is

2. What type of a relation is R = {(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)} on the set A – {1, 2, 3, 4}

3. If F : R → R such that f(x) = 5x + 4 then which of the following is equal to f

4. (a) \(\frac{x-5}{4}\)

5. If an operation is defined by a* b = a² + b², then (1 * 2) * 6 is

6. Consider the binary operation * on a defined by x * y = 1 + 12x + xy, ∀ x, y ∈ Q, then 2 * 3 equals

7. The range of the function f(x) = \(\sqrt{(x-1)(3-x)}\) is

8. If f: R → R defined by f(x) = 2x + 3 then f

9. The function f(x) = log (x² + \(\sqrt{x^2+1}\) ) is

10. Let E = {1, 2, 3, 4} and F = {1, 2} Then, the number of onto functions from E to F is