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Mapping Diagrams

Choose the co...

Question

Choose the correct mapping diagram of the function $y = 2 x - 3,$ where $x$ is the integer values between $- 5.5$ and $- 2.5.$

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Solution

The correct option is B
The integer values between $- 5.5$ and $- 2.5$ are $- 5, - 4$ and $- 3.$

$∴$ Domain is ${- 5, - 4, - 3}$
We substitute each value of the domain in $y = 2 x - 3,$ and obtain the corresponding values of $y .$
$x$ $y$

$- 5$ $- 4$ $- 3$

$2 (- 5) - 3 = - 13$ $2 (- 4) - 3 = - 11$ $2 (- 3) - 3 = - 9$

$∴$ The mapping diagram is as follows:

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Similar questions

Function 1: y = 2 x + 3

Function 2: y = \frac{2 x}{3} + 3

Function 3: y = 3 x^{2} - 3

Function 4: Between x = 0 and x = 5,

slope = 4. After x = 5,

slope keeps increasing.

Function 5: Between x = 0 and x = 6,

slope = 2.5. For all values of

x \geq 7, slope = 2.5

x \in Domain & y \in Range

x

| 2 x - 1 | = 3 [x] + 2 {x}

[.]

{.}

x \in R

{(log {x})}^{2} - 3 log [x] + 2 = 0

\frac{1 - 2 x}{3 - | x - 1 |} = 1,

{.}

[.]

x

[.]

{.}

x

| 2 x - 1 | = 3 [x] + 2 {x}

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$- 5$	$- 4$	$- 3$
$2 (- 5) - 3 = - 13$	$2 (- 4) - 3 = - 11$	$2 (- 3) - 3 = - 9$