Which of the following mapped diagram satisfies given function defined from X to Y-y-2xx-2X-1- -1- 3- 5Y-2- 2-3- 6- 10-3- 5- -6Given that x-X - y-Y

Given that function is defined from set X to set Y Given rule is nbsp;y=2xx 2 X:{1, 1, 3, 5} Y:{ 2, 2/3, 6, 10/3, 5, 6} Given that x∈X & y∈Y nbsp; H ...

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Byju's Answer

Standard VIII

Mathematics

Forming Mapping Diagrams for a Function

Which of the ...

Question

Which of the following mapped diagram satisfies given function defined from $X$ to $Y$ .
$y = \frac{2 x}{x - 2} X : {1, - 1, 3, 5} Y : {- 2, \frac{2}{3}, 6, \frac{10}{3}, 5, - 6}$
Given that $x \in X & y \in Y$

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Solution

The correct option is A
Given that function is defined from set $X$ to set $Y$
Given rule is $y = \frac{2 x}{x - 2}$
$X : {1, - 1, 3, 5} Y : {- 2, \frac{2}{3}, 6, \frac{10}{3}, 5, - 6}$
Given that $x \in X & y \in Y$

Here, we need put each value of set $X$ in given rule to find value of $y$ .
Value of $x$ are input here and value of $y$ are output.

Collection of given input values is Domain and collection of output values is Range.

On putting each value of $x$ , mapped diagram will be:
$x = - 1 \Rightarrow \frac{2 (- 1)}{- 1 - 2} = \frac{2}{3} x = 1 \Rightarrow \frac{2 (1)}{1 - 2} = - 2 x = 3 \Rightarrow \frac{2 (3)}{3 - 2} = 6 x = 5 \Rightarrow \frac{2 (5)}{5 - 2} = \frac{10}{3}$

Domain of the function is ${1, - 1, 3, 5}$
Range of the function is ${- 2, \frac{2}{3}, \frac{10}{3}, - 6}$

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Which of the following mapped diagram satisfies given function defined from X to Y. y=2xx−2X:{1,−1,3,5}Y:{−2,23,6,103,5,−6} Given that x∈X & y∈Y

Which of the following mapped diagram satisfies given function defined from $X$ to $Y$ .
$y = \frac{2 x}{x - 2} X : {1, - 1, 3, 5} Y : {- 2, \frac{2}{3}, 6, \frac{10}{3}, 5, - 6}$
Given that $x \in X & y \in Y$