Mathematics › Functions
Functions Questions
278 questions across 11 subtopics — with step-by-step solutions.
Composite(25)
- LetandIfthenis equal to: | Mathematics | TestHub
- Forletandbe three given functions. If a fu... | Mathematics | TestHub
- Forletand. Ifthenis equal to: | Mathematics | TestHub
- Let. For anydefine. If, then which one of... | Mathematics | TestHub
- Ifthenis equal to | Mathematics | TestHub
- LetandIfis a positive real number such tha... | Mathematics | TestHub
- For a suitably chosen real constant, let a... | Mathematics | TestHub
- Ifandthenis equal to | Mathematics | TestHub
- Letbe defined by. Then the value offor whi... | Mathematics | TestHub
- Letbe a function defined by. If the functi... | Mathematics | TestHub
- Letandbe two real polynomials of degreeand... | Mathematics | TestHub
- Letandbe three positive real numbers. Leta... | Mathematics | TestHub
- Let. Iffor all, thenis equal to | Mathematics | TestHub
- Let. DefineasLetbe a function such that, t... | Mathematics | TestHub
- If, then the least value ofis | Mathematics | TestHub
- Let . For , define . If , then is equal to... | Mathematics | TestHub
- Fortwo real valued functionsandare such th... | Mathematics | TestHub
- Letbe a function definedandthen | Mathematics | TestHub
- If and , where , then is equal to | Mathematics | TestHub
- Consider the function defined by . If the... | Mathematics | TestHub
- Let , and be a function such that for all... | Mathematics | TestHub
- Let be defined as : Then the function is | Mathematics | TestHub
- If, then range ofis | Mathematics | TestHub
- Let denote the set of all real numbers. Le... | Mathematics | TestHub
- Let and . Then the domain of is | Mathematics | TestHub
Domain-Range(72)
- The domain of is | Mathematics | TestHub
- Domain of definition of the function , is | Mathematics | TestHub
- The range of the function is | Mathematics | TestHub
- The domain of the function is | Mathematics | TestHub
- The largest interval lying in for which th... | Mathematics | TestHub
- Match the statements given in Column I wit... | Mathematics | TestHub
- The domain of the function is | Mathematics | TestHub
- Let and . Statement 1: for . Statement 2:... | Mathematics | TestHub
- Statement 1: If and be two sets having and... | Mathematics | TestHub
- The range of the function , is | Mathematics | TestHub
- Let, for alland, for all. Letdenoteanddeno... | Mathematics | TestHub
- Let { and } and { is a real number}(Here t... | Mathematics | TestHub
- Let be defined by Then the range of is | Mathematics | TestHub
- The domain of the definition of the functi... | Mathematics | TestHub
- The domain of the functionis, thenis equal to | Mathematics | TestHub
- The minimum value ofis : | Mathematics | TestHub
- Let, be a function defined bywhere, denote... | Mathematics | TestHub
- Let the domain of the functionbe. Then the... | Mathematics | TestHub
- If the functions are defined asandthen wha... | Mathematics | TestHub
- Letand. If, then the domain of the functionis | Mathematics | TestHub
- Letdenote the greatest integer, where. If... | Mathematics | TestHub
- If the domain of the functionis the interv... | Mathematics | TestHub
- The domain of the function,is: | Mathematics | TestHub
- The real valued function where denotes the... | Mathematics | TestHub
- The range of the functionis : | Mathematics | TestHub
- The domain of the functionis : | Mathematics | TestHub
- The domain ofis | Mathematics | TestHub
- The domain of the functionis | Mathematics | TestHub
- Considering only the principal values of t... | Mathematics | TestHub
- The domain of the functionis | Mathematics | TestHub
- The domain of the function, whereis the gr... | Mathematics | TestHub
- The sum of the maximum and minimum values... | Mathematics | TestHub
- Letbe real valued function defined as. The... | Mathematics | TestHub
- If the domain of the functionis, thenis eq... | Mathematics | TestHub
- If the domain of the functionis, thenis eq... | Mathematics | TestHub
- The range of the functionis | Mathematics | TestHub
- The domain of the functionis (wheredenotes... | Mathematics | TestHub
- Let the sets and denote the domain and ran... | Mathematics | TestHub
- The range ofis | Mathematics | TestHub
- If domain of the functionis, thenis equal to | Mathematics | TestHub
- Letbe a function defined by, for some, suc... | Mathematics | TestHub
- If the domain of the function, whereis gre... | Mathematics | TestHub
- Let be the domain of the function . If the... | Mathematics | TestHub
- The domain ofis | Mathematics | TestHub
- If the range of is , then the sum of the i... | Mathematics | TestHub
- If the domain of the functionis, then the... | Mathematics | TestHub
- If the domain of the function is , then is... | Mathematics | TestHub
- If the domain of the functionis, thenis eq... | Mathematics | TestHub
- Let the sum of the maximum and the minimum... | Mathematics | TestHub
- If the domain of the functionisthenis equa... | Mathematics | TestHub
- Letandbe defined asand. Then the domain of... | Mathematics | TestHub
- Let the range of the function be . If and... | Mathematics | TestHub
- If the domain of the function is , then is... | Mathematics | TestHub
- Let be a function defined on . Then the ra... | Mathematics | TestHub
- If the domain of the function is and the d... | Mathematics | TestHub
- Let the range of the function be . Then th... | Mathematics | TestHub
- Let denote the greatest integer less than... | Mathematics | TestHub
- If the domain of the function is , then is... | Mathematics | TestHub
- Let the domain of the function be and the... | Mathematics | TestHub
- Let the domains of the functions and be an... | Mathematics | TestHub
- If the domain of the functionthen is equal to | Mathematics | TestHub
- If the range of the function , , is , then... | Mathematics | TestHub
- If the domain of the function is , then is... | Mathematics | TestHub
- Let be defined as and . If the range of th... | Mathematics | TestHub
- If f(x)=x^{2}+x+\frac{3}{4} and g(x)=x^{2}... | Mathematics | TestHub
- Range of \mathrm{f}(\mathrm{x})=\frac{\tan... | Mathematics | TestHub
- Let \mathrm{A}_{1}, \mathrm{~A}_{2}, \math... | Mathematics | TestHub
- The domain of the function f(x)=\log _{e}\... | Mathematics | TestHub
- The range of f(x)=-x^{3}+x^{2}-x+\cos ^{-1... | Mathematics | TestHub
- Domain of the function \mathrm{f}(\mathrm{... | Mathematics | TestHub
- Match the function given in List-I with th... | Mathematics | TestHub
- The number of functions from the set \math... | Mathematics | TestHub
Even-odd(4)
Functional Equation(42)
- If and then is | Mathematics | TestHub
- If satisfies , for all and , then is | Mathematics | TestHub
- A real valued function satisfies the funct... | Mathematics | TestHub
- Let , where is a twice differentiable posi... | Mathematics | TestHub
- Let for all and let for all . Question:Con... | Mathematics | TestHub
- Ifand, then | Mathematics | TestHub
- ForletandThen the value ofis equal to : | Mathematics | TestHub
- Let. Ifis such thatand, thenis equal to: | Mathematics | TestHub
- Letbe a differentiable function withand sa... | Mathematics | TestHub
- Letbe such thatfor allandIfsatisfies the d... | Mathematics | TestHub
- Ifand, whereis the set of all natural numb... | Mathematics | TestHub
- Suppose a differentiable functionsatisfies... | Mathematics | TestHub
- Letbe a function which satisfies. Ifandthe... | Mathematics | TestHub
- Suppose that a functionsatisfiesfor alland... | Mathematics | TestHub
- Letbe a polynomial of degreesuch thatforTh... | Mathematics | TestHub
- Letbe a function such thatfor everyIftheni... | Mathematics | TestHub
- Letbe defined asThen the value ofis equal... | Mathematics | TestHub
- A function is given by , then the sum of t... | Mathematics | TestHub
- Ifandthen the value of the expressionis __... | Mathematics | TestHub
- Let. Ifand, for all, then the value ofis e... | Mathematics | TestHub
- Letbe a function such thatfor natural numb... | Mathematics | TestHub
- Letbe a function defined. Thenis equal to... | Mathematics | TestHub
- Letbe a continuous function such that. If,... | Mathematics | TestHub
- Letbe such thatand. If, thenis equal to | Mathematics | TestHub
- The number of functionssatisfyingis | Mathematics | TestHub
- For the differentiable functionletthenis e... | Mathematics | TestHub
- Letbe a function such thatfor all, Ifand,... | Mathematics | TestHub
- Letbe a differentiable function that satis... | Mathematics | TestHub
- LetThenis equal to | Mathematics | TestHub
- If,, thenis equal to | Mathematics | TestHub
- Supposebe a differentiable function such t... | Mathematics | TestHub
- If,, then | Mathematics | TestHub
- Letbe a function such that. Thenis equal to : | Mathematics | TestHub
- Consider a function , satisfying with . Th... | Mathematics | TestHub
- Let be a function such that for all , and... | Mathematics | TestHub
- If a function satisfies for all and , then... | Mathematics | TestHub
- Let be a polynomial of degree 2, satisfyin... | Mathematics | TestHub
- Let be a function such that . Then is equa... | Mathematics | TestHub
- Let be a continuous function satisfying an... | Mathematics | TestHub
- Let . Then the value of is equal to | Mathematics | TestHub
- Let and . If , and , then the value of is: | Mathematics | TestHub
- Letbe a differentiable function withand sa... | Mathematics | TestHub
General (Definition,type and special type)(34)
- Let the function be defined by . Then the... | Mathematics | TestHub
- Let and . Then which of the following stat... | Mathematics | TestHub
- For a differentiable function , suppose ,... | Mathematics | TestHub
- Consider the sets , , and . The total numb... | Mathematics | TestHub
- Let be a function such that . Then is equa... | Mathematics | TestHub
- Let be a function defined by , then the va... | Mathematics | TestHub
- Let the range of the function be . Then th... | Mathematics | TestHub
- Let be defined as and . If the range of th... | Mathematics | TestHub
- Let . Then the value of is equal to | Mathematics | TestHub
- Let be a function such that . If the , the... | Mathematics | TestHub
- Let and . Then the number of many-one func... | Mathematics | TestHub
- Practice Question | Mathematics | TestHub
- If the domain of the functionthen is equal to | Mathematics | TestHub
- Number of functions , that assign 1 to exa... | Mathematics | TestHub
- Let and . If , and , then the value of is: | Mathematics | TestHub
- Let the domains of the functions and be an... | Mathematics | TestHub
- Let be a polynomial of degree 2, satisfyin... | Mathematics | TestHub
- If , then is equal to | Mathematics | TestHub
- Let denote the greatest integer less than... | Mathematics | TestHub
- Let be a function such that .If the , then... | Mathematics | TestHub
- If the domain of the function is and the d... | Mathematics | TestHub
- If the domain of the function is , then is... | Mathematics | TestHub
- Let be a continuous function satisfying an... | Mathematics | TestHub
- If \mathrm{f}(\mathrm{x})=\mathrm{x}^{2}+2... | Mathematics | TestHub
- Let f:[0, \sqrt{3}] \rightarrow\left[0, \f... | Mathematics | TestHub
- If f: N \rightarrow N is defined by f(n)=n... | Mathematics | TestHub
- Identify the WRONG statement(s) | Mathematics | TestHub
- If [\sin x]+\left[\frac{x}{2 \pi}\right]+\... | Mathematics | TestHub
- Let the function be defined by . Then the... | Mathematics | TestHub
- The number of solutions of the equation x^... | Mathematics | TestHub
- If 0<x<1000 and \left[\frac{x}{2}\right]+\... | Mathematics | TestHub
- Let be a function defined by {where is G.I... | Mathematics | TestHub
- If f(x)=\left(1-x^{n}\right)^{1 / n}, 0<x<... | Mathematics | TestHub
- Let f\left(\frac{x+y}{2}\right)=\frac{1}{2... | Mathematics | TestHub
Inverse(10)
- Let be a function defined as , where for s... | Mathematics | TestHub
- Let Statement-1: The set Statement-2 : is... | Mathematics | TestHub
- Let be defined by , where is a constant su... | Mathematics | TestHub
- If , and is its inverse function, then equ... | Mathematics | TestHub
- Ifis the inverse of a functionandthenis eq... | Mathematics | TestHub
- Let B be a function defined as , where and... | Mathematics | TestHub
- The inverse function ofis __________. | Mathematics | TestHub
- Letbe defined by. Letbe given as. Then, th... | Mathematics | TestHub
- The inverse ofis: | Mathematics | TestHub
- For some, letand. If, thenis equal to _____ . | Mathematics | TestHub
Miscellaneous/Mixed(12)
- Letsatisfy,. If, thenis equal to _____. | Mathematics | TestHub
- Let be such that and . Then is equal to: | Mathematics | TestHub
- Let. Thenis equal to | Mathematics | TestHub
- Let be a twice differentiable function suc... | Mathematics | TestHub
- Let f: \mathrm{R} \rightarrow \mathrm{R} b... | Mathematics | TestHub
- f is a function such that f(x)+2 f(1-x)=x^... | Mathematics | TestHub
- Number of distinct real solutions of \sin... | Mathematics | TestHub
- If f(x) is a polynomial function satisfyin... | Mathematics | TestHub
- If n is a natural and 1 \leq n \leq 100 ,... | Mathematics | TestHub
- If f is a polynomial function satisfying 2... | Mathematics | TestHub
- Let f\left(x+\frac{1}{y}\right)+f\left(x-\... | Mathematics | TestHub
- A function satisfies the equation for all... | Mathematics | TestHub
Number of Solutions (graph)(14)
- The graph of the function is symmetrical a... | Mathematics | TestHub
- Paragraph:If a continuous defined on the r... | Mathematics | TestHub
- Paragraph:If a continuous defined on the r... | Mathematics | TestHub
- Paragraph:If a continuous defined on the r... | Mathematics | TestHub
- Match the statements/expressions given in... | Mathematics | TestHub
- The number of elements in the setis equal to | Mathematics | TestHub
- Letdenote the greatest integer less than o... | Mathematics | TestHub
- The equation, wheredenotes the greatest in... | Mathematics | TestHub
- Letwheredenotes greatest integer function.... | Mathematics | TestHub
- The number of distinct real roots of the e... | Mathematics | TestHub
- Consider the function defined by . Conside... | Mathematics | TestHub
- If , where denotes the greatest integer le... | Mathematics | TestHub
- Let. Ifandare respectively the number of p... | Mathematics | TestHub
- Practice Question | Mathematics | TestHub
Periodic Functions(1)
Periodicity(4)
Types of Function (Mapping)(60)
- A function from the set of natural numbers... | Mathematics | TestHub
- If , defined by , is onto, then the interv... | Mathematics | TestHub
- Let , be a function defined by , then is b... | Mathematics | TestHub
- For real , let , then | Mathematics | TestHub
- Let and be non empty sets in and is a bije... | Mathematics | TestHub
- The function , defined by , is | Mathematics | TestHub
- If denotes the set of all subsets of a giv... | Mathematics | TestHub
- Let and be the relation defined by . The c... | Mathematics | TestHub
- Letbe given byThen | Mathematics | TestHub
- letbe defined by List – I List – II(A) is(... | Mathematics | TestHub
- Letbe defined bythenis | Mathematics | TestHub
- The functiondefined asis: | Mathematics | TestHub
- The functiondefined by, whereis the set of... | Mathematics | TestHub
- Letbe a set with exactlyelements andbe a s... | Mathematics | TestHub
- The number of functions from onto such tha... | Mathematics | TestHub
- If the functiondefined byis surjective, th... | Mathematics | TestHub
- Let{is not a positive integer}Define a fun... | Mathematics | TestHub
- Letbe the set of natural numbers and two f... | Mathematics | TestHub
- Let a function be defined by Then is : | Mathematics | TestHub
- If the functionis defined by, then which o... | Mathematics | TestHub
- LetandThen the number of elements in the s... | Mathematics | TestHub
- Let and be defined asThen the number of po... | Mathematics | TestHub
- LetThen the number of possible functionssu... | Mathematics | TestHub
- Letbe defined asand. be defined as. Then t... | Mathematics | TestHub
- Letsuch thatandbe any arbitrary function.... | Mathematics | TestHub
- Letdenote the total number of one-one func... | Mathematics | TestHub
- Let be defined as, for all Then which of t... | Mathematics | TestHub
- Consider functionandsuch thatexists, then: | Mathematics | TestHub
- LetThen the number of bijective functionss... | Mathematics | TestHub
- Let. Then the number of elements in the se... | Mathematics | TestHub
- The number of one-one functionssuch thatis... | Mathematics | TestHub
- The number of functions, from the setto th... | Mathematics | TestHub
- Letbe functions defined by, whereis the ma... | Mathematics | TestHub
- The number of bijective functionifis | Mathematics | TestHub
- The total number of functions,such that, i... | Mathematics | TestHub
- Let a functionbe defined bythen,is | Mathematics | TestHub
- The probability that a randomly chosen one... | Mathematics | TestHub
- Letbe defined asandbe defined as. Then the... | Mathematics | TestHub
- Let. Then the number of oneone functions,... | Mathematics | TestHub
- Let. Then the number of possible functions... | Mathematics | TestHub
- Letand. Then the number of functionssatisf... | Mathematics | TestHub
- Letand. Total number of onto functionssuch... | Mathematics | TestHub
- Let be a function defined by , and . Consi... | Mathematics | TestHub
- Letbe a function such that. Then | Mathematics | TestHub
- Let and . Then the number of one-one funct... | Mathematics | TestHub
- The function; defined bythe highest prime... | Mathematics | TestHub
- Letand letdenote the power set of. If the... | Mathematics | TestHub
- Let and be functions defined by and Let .... | Mathematics | TestHub
- Let where and . Then the function is | Mathematics | TestHub
- Let and be defined as and . Then, is: | Mathematics | TestHub
- Let and . Then the total number of one-one... | Mathematics | TestHub
- Let be the greatest integer less than or e... | Mathematics | TestHub
- If the functiondefined byis one-one and on... | Mathematics | TestHub
- The function is | Mathematics | TestHub
- Consider the sets , , and . The total numb... | Mathematics | TestHub
- Let denote the set of all natural numbers,... | Mathematics | TestHub
- Let A be defined by and be defined by . If... | Mathematics | TestHub
- Let and . Then the number of many-one func... | Mathematics | TestHub
- Practice Question | Mathematics | TestHub
- f(x)=x^{2015}+\log \left(x+\sqrt{x^{2}+1}\... | Mathematics | TestHub
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