JEE Advanced questions
3844 published questions with worked solutions.
- Let f(x) = 2x + | x|. Then f is
- Let f : R A = y , | , 0 y < 2 be a function such that f(x) = ^ -1 (x^2 + x + k), where k is a constant. The value of k for which...
- Which of the following is an even function? Here [ ] denotes the greatest integer function and f is any function.
- A function whose graph is symmetrical about the y-axis is given by
- A function whose graph is symmetrical about the origin is given by
- Let f(x)= cases 4, & x<-1 -4x, & -1 x 0. cases If f(x) is an even function in R then the definition of f(x) in (0,+ ) is
- If f(x)= cases x^2 x 2 , & |x|<1 [4pt] x|x|, & |x| 1 cases then f(x) is
- The period of the function f(x) = | x 2 | + | x| is
- If f(x) is a periodic function of the period k then f(kx+a), where a is a constant, is a periodic function of the period
- The period of the function f(x) = 4 (2x+3) is
- The period of the function f(x) = 3 x 3 + 4 x 4 is
- Let f(x) = p ,x, where p = [a] = the greatest integer less than or equal to a. If the period of f(x) is then
- Let f(x) = 3x + 3 ,x. Then f(x) is
- The function f(x) = x n! - x (n+1)! is
- The function f(x) = x - [x] + x, where [x] = the greatest integer less than or equal to x, is a
- Let f(x) = nx + n - [nx+n] + x 2 , where [x] is the greatest integer x and n N. It is
- Let f(x) = x(2-x), 0 x 2. If the definition of f is extended over the set R - [0, 2] by f(x+2) = f(x) then f is a
- If g f(x) = | x| and f g(x) = ( x )^2 then
- If f(x) = 1 1-x , x 0, 1, then the graph of the function y = f f(f(x)) , x > 1, is
- If f(x) is a polynomial function of the second degree such that f(-3) = 6, f(0) = 6 and f(2) = 11 then the graph of the function...