Question

The given graph of linear function shows a relation between a player with his height.


The set of input and output values will be:

• A. $\text{Domain:}0\le \text{x}\le 4$
  $\text{Range:}0\le \text{y}\le 7.8$
• B. $\text{Domain:}0\le \text{x}\le 7.8$
  $\text{Range:}7\le \text{y}\le 4$
• C. $\text{Range:}0\le \text{y}\le 4$
  $\text{Domain:}7\le \text{x}\le 7.8$
• D. $\text{Domain:}0\le \text{x}\le 4$
  $\text{Range:}7\le \text{y}\le 7.8$

Answer 1

The correct option is D $\text{Domain:}0\le \text{x}\le 4$

$\text{Range:}7\le \text{y}\le 7.8$
We know,
Set of all input values = the set of x-coordinates = Domain


In the given graph, ordered pairs are represented by dots at the points (0, 7) and (4, 7.8)

The x-coordinate in the first ordered pair (0, 7) is 0 and in the last ordered pair (4, 7.8) is 4

As dots are present, so, both the domain and range wil be fixed within a particular set only.

$\therefore \text{Domain}=0\le \text{x}\le 4$

We know,
Set of all output values = the set of y-coordinates = Range

The y-coordinate in first ordered pair (0, 7) is 7 and in the last ordered pair (4, 7.8) is 7.8

$\therefore \text{Range}=7\le \text{y}\le 7.8$