List of top Mathematics Questions on Relations and Functions asked in CUET (UG)

Let \( f : \mathbb{R} \to \mathbb{R} \) be defined as \( f(x) = 10 - x^2 \), then:

Relation \( R \) on the set \( A = \{1, 2, 3, \ldots, 13, 14\} \) defined as \( R = \{(x, y) : 3x - y = 0\} \) is:

Match List I with List II

Choose the correct answer from the options given below:

The relation R in the set A = {1, 2, 3, 4} is given by R = {(1, 2), (2, 2), (1, 1), (4, 4), (1, 3), (3, 3), (3, 2)} is :

If f(x) - 27x³ and g(x) = \((x)^{\frac{1}{3}}\), then gof(x) is :

The function f(x) - x³ , x ∈ R has :

The inverse of the function f: R→R given by f(x) = 2x +7 is:

Let f: R→R defined by f(x)=2x³-7 for x∈R. Then:
(A) f is one-one function
(B) f is many to one function
(C) f is bijective function
(D) f is into function
Choose the correct answer from the options given below:

If set A has 5 elements and set B has 7 elements than number of one-one and onto mapping from A to B is:

The absolute maximum value of the function f(x)=sinx + cosx, x \(\in\)[0, \(\pi\)] is:

Let \(f: \R → \R\) be defined by \(f(x) = x^2\), for every \(x∈\R\). Then \(f\) is:

Domain of function \(f(x) = cos^{-1}\sqrt {2x-1}\) is

For real numbers a and b, define aRb if b-a+√5 is an irrational number. Then the relation R is:

The domain of the function f(x) = log \((x^2-4)\) is: