MCQ_SINGLE

A function \(f:R_{+}\rightarrow R\) (where \(R_{+}\) is the set of all non-negative real numbers) defined by \(f(x)=4x+3\) is:

VSA

Find the number of one-one onto mapping from $A$ to $B$, where $n(A) = 5, n(B) = 6$.

VSA

Let $X = \{-1, 0, 1\}, Y = \{0, 2\}$ and a function $f: X \to Y$ defined by $y = 2x^4$, then check whether $f$ is one-one or onto.

SA

Let $A=\{1,2,3\}$ and $B=\{4,5,6\}$. A relation R from A to B is defined as $R=\{(x,y):x+y=6, x\in A, y\in B\}$. (i) Write all elements of R. (ii) Is R a function? Justify. (iii) Determine domain and range of R.

LA

A function $f : R - \{-1, 1\} \to R$ is defined by: $f(x) = \frac{x}{x^2 - 1}$. (i) Check if $f$ is one-one. (ii) Check if $f$ is onto. Show your work. [Competency]

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