Mathematics · JEE

Online Practice: One-one, into and onto functions for JEE

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Sharpen your mathematics preparation with interactive online practice for One-one, into and onto functions. Goodmarks offers 7+ JEE-style MCQs mapped to the official syllabus, each with detailed explanations so you learn from every attempt.

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Q1MathsUnit 1: Sets, Relations and Functions
If f:[0,)[0,),\mathbf{f}:[\mathbf{0}, \infty) \rightarrow[\mathbf{0}, \infty), and f(x)=x1+x\mathbf{f}(\mathbf{x})=\frac{\mathbf{x}}{\mathbf{1}+\mathbf{x}} then f\boldsymbol{f} is
Q2MathsUnit 1: Sets, Relations and Functions
The function f:(,1)(0,e5]\boldsymbol{f}:(-\infty,-1) \rightarrow\left(\mathbf{0}, e^{5}\right] defined by f(x)=ex33x+2f(x)=e^{x^{3}-3 x+2} is
Q3MathsUnit 1: Sets, Relations and Functions
If f(A)f(A) is a proper subset of BB, then ff ABA \rightarrow B is called a/an ..\ldots \ldots . . function
Q4MathsUnit 1: Sets, Relations and Functions
An identity function is a?
Q5MathsUnit 1: Sets, Relations and Functions
The function f:RR\boldsymbol{f}: \boldsymbol{R} \rightarrow \boldsymbol{R} defined by f(x)=x21+x2xRf(x)=\frac{x^{2}}{1+x^{2}} \forall x \in R is
Q6MathsUnit 1: Sets, Relations and Functions
Let f:NNf: N \rightarrow N defined by f(n)=f(n)= {n+12 if n is odd n2 if n is even \left\{\begin{array}{cc}\frac{n+1}{2} & \text { if } n \text { is odd } \\ \frac{n}{2} & \text { if } n \text { is even }\end{array}\right. then f\boldsymbol{f} is.
Q7MathsUnit 1: Sets, Relations and Functions
The function f:NN\boldsymbol{f}: \boldsymbol{N} \rightarrow \boldsymbol{N} defined by f(x)=x5[x5],\boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}-\mathbf{5}\left[\frac{\boldsymbol{x}}{\mathbf{5}}\right], where N\mathrm{N} is the set of natural numbers and [x][x] denotes the greatest integer less than or equal to xx is

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