List of top Mathematics Questions on Functions asked in CUET (PG)

Function f(x)=(x+1)^cotx is continuous at x = 0, then the value of f(0) is

If f: R→R is defined by f(x)=3x²-5 and g: R→R by g(x)=\(\frac{x}{x+1}\) then gof(x) is

Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R):
Assertion (A): cos(x²), is a periodic function.
Reasons (R): If f(x) is periodic function with periods T and if a,b ∈ R such that a>0 then (ax+b) is periodic with period T/a.
In the light of the above Statements, choose the correct answer from the options given below:

Let F: [0,π ]→R be defined as f(x) = sinx, then maximum value of f(x) exists at

The point(s) at which function f is given by \(f(x)={\begin{Bmatrix}\frac{x}{|x|};x\lt0  \\ -1; x\geq0\end{Bmatrix}}\) is continuous is/are

If every pair from among the equation x² + px + qr = 0, x² + qx + rp = 0 and x² + rx + pq = 0 has a common root, then the product of three common roots is_______.

If f: R→R defined as of f(x) = x² + 1 then minimum value of f(x) is

Consider the linear function from Z to Z: f= {(0, -5), (1, 0), (2, 5), (-1, -10)}. Then the function f(x) is

The function F(x) = [x] at x = 0 is

The figure (A) is showing which type of function?