Function questions
503 published questions with worked solutions.
- If f( x)-f(- x)=x^2-1 is defined for all x R, then the value of x^2-2 can be
- The range of the function f(x)=1+ x+ ^3x+ ^5x+ when x (- /2, /2) is
- If f(x) is an odd function, then the curve y=f(x) is symmetric
- If f(x) is defined on [0,1], then the domain of definition of f( x) is
- Let the function f(x)=x^2+x+ x- x+ (1+|x|) be defined on the interval [0,1]. The odd extension of f(x) to the interval [-1,1] is
- The domain of the function f(x)= _ 10 ( 1 | x| ) is
- The domain of definition of f(x)= _ 10 _ 10 (1+x^3) is
- If f(-x)=-f(x), then f(x) is
- The domain of definition of f(x)= _ 0.5 - _2 ( 3x-1 3x+2 ) is
- The function f(x)= x 2 +2 x 3 - x 4 is periodic with period
- Which of the following functions has period ?
- The function f(x)= cases 1, & x Q 0, & x Q cases is
- The function f(x)= ( 12 )^ x is
- If f(x)=x- 1x, x 0, then f(x^2) equals
- Let f be a real valued function with domain R such that f(x+1)+f(x-1)= 2f(x) for all x R, then
- The range of the function f(x)= _ 10 ( 4-x^2 1-x ) is
- Let f(x) be a real valued function defined by f(x+ )=1+ [2-5f(x)+10 f(x) ^2-10 f(x) ^3+5 f(x) ^4- f(x) ^5 ]^ 1/5 for all real x...
- If f(x)= ^ -1 ( 2-|x| 4 )+[ _ 10 (3-x)]^ -1 , then its domain is
- If f(x)= ( x) + ( x) , then the range of f(x) is
- If f(x)= ||x|-1 |, then f f(x) equals
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