Function questions
503 published questions with worked solutions.
- If f(x) is an even function, then the curve y=f(x) is symmetric about
- The domain of definition of the function f(x)= [3] 2x+1 x^2-10x-11 is
- Let f:[ ,3 /2] R be a function given by f(x)=[ x]+[1+ x]+[2+ x]. Then the range of f(x) is
- The range of the function f(x)= x+2 x^2-8x-4 is
- The domain of the function f(x)= ^ 16-x C_ 2x-1 + ^ 20-3x P_ 4x-5 , where the symbols have their usual meanings, is the set
- Let f(x)= cases 0, & x=0 x^2 2x , & |x|<1 x|x|, & |x| 1 cases . Then f(x) is
- If f(x) and g(x) are two real functions such that f(x)+g(x)=e^x and f(x)-g(x)=e^ -x , then
- If f(x) is defined on [0,1], then the domain of f(3x^2) is
- Which of the following functions is periodic?
- The value of n Z (the set of integers) for which the function f(x)= nx ( x n ) has 4 as its period is
- The domain of definition of the function f(x)=x^ 1 _ 10 x is
- Let the function f(x)=3x^2-4x+8 (1+|x|) be defined on the interval [0,1]. The even extension of f(x) to the interval [-1,0) is
- The period of the function f(x)=| 3x|+| 3x| is
- f:[-4,0] R is given by f(x)=e^x+ x. Its even extension to [-4,4] is
- The function f(x)=x[x] is
- The domain of the function f(x)= - _ 0.3 (x-1) -x^2+3x+18 is
- The range of f(x)= ( 4 ^2x ), - <x< , is
- The period of the function f(x)= ^43x+ ^43x is
- The period of the function ( x 2 )+ ( x 2 ) is
- Let f(x)= x 1+ [3] x . If D is the domain of f, then D contains
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