Function questions
503 published questions with worked solutions.
- The domain of the function f(x) = 1 - 1 - 1 - x^2 is
- The domain of the function f(x) = x^2 - [x]^2 , where [x] = the greatest integer less than or equal to x, is
- The domain of f(x) = 1 | x| + x is
- The domain of f(x) = ^ -1 ! ( 1 + x^2 2x ) + 1 - x^2 is
- The function f(x) = e^ ^ -1 ( _4 x^2) is real valued. It is defined if
- The domain of the real-valued function f(x) = _e| _e x| is
- The domain of the function f(x) = _e(x - [x]), where [ ] denotes the greatest integer function, is
- The range of the real-valued function f(x) = 9 - x^2 is
- The range of the function y = _3(5 + 4x - x^2) is
- Let f : x, y, z a, b, c be a one-one function and only one of the conditions (i) f(x) b, (ii) f(y) = b, (iii) f(z) a is true....
- 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
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