Subject: Maths, asked on 8/5/18

## Explain the first para.

Subject: Maths, asked on 8/5/18

## Explain one to one function and bijective function .

Subject: Maths, asked on 8/5/18

## Explain Onto function

Subject: Maths, asked on 8/5/18

## Ques. Explain irrational function , even function , odd function , periodic functions.

Subject: Maths, asked on 8/5/18

## Explain algebraic operations on functions . Dom?

Subject: Maths, asked on 8/5/18

## Explain the two graphs in relations , inverse and direct image , R inverse

Subject: Maths, asked on 8/5/18

## Explain

Subject: Maths, asked on 6/5/18

## Q. Is the following same as [0,3/2)

Subject: Maths, asked on 6/5/18
Subject: Maths, asked on 6/5/18

## Example 15: Example 15: Define the real valued function . Complete the Table given below using this definition. What is the domain and range of this function ?   x -2 -1.5 -1 -0.5 0.25 0.5 1 1.5 2 $y=\frac{1}{x}$ ... ... ... ... ... ... ... ... ...

Subject: Maths, asked on 6/5/18

## Example 14

Subject: Maths, asked on 6/5/18

## Let f : R+ → R, where R+ is the set of all positive real numbers, be such that f(x) = loge x. Determine (i) the image set of the domain of f (ii) {x : f(x) = – 2} (iii) whether f(xy) = f(x) + f(y) holds.

Subject: Maths, asked on 5/5/18

## Let f : R → R be such that f(x) = 2x. Determine: (i) Range of f            (ii) {x : f(x) = 1}        (iii) whether f(x + y) = f(x) f(y) holds.

Subject: Maths, asked on 5/5/18

## Solve this: Q EXAMPLES 8. If ƒ : R $\to$R be defined as follows :                                            ƒ (x) = $\left\{\begin{array}{ccc}1,& if& x\in Q\\ -1,& if& x\notin Q\end{array}\right\$           Find (i) ƒ (1/2), ƒ ($\mathrm{\pi }$), ƒ $\left(\sqrt{2}\right)$                   (ii) Range oƒƒ                 (iii) pre- images oƒ 1 and – 1.

Subject: Maths, asked on 5/5/18

## SIR WHAT DO YOU MEAN BY DEFINE A RELATION ON THE SET. Q.17. Let A = {1, 2, 3, ....., 14}. Define a relation on a set A by R = {(x, y) : 3x - y = 0, where x, y $\in$ A}. Depict relationship using an arrow diagram. Write down its domain, co-domain and range. Q.18. Draw the graph of f (x) = | 2x + 3 | + 2 and find its domain & range.

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