Question

The graph shows the relation between the time taken by an ant to travel from one place to another place.


The domain of function shown in the graph is

• A. $2\le x\le -10$
• B. $-2\le x\le 10$
• C. $2\le x\le 10$

Answer 1

The correct option is C $2\le x\le 10$

$\text{Mark the domain for the graph of distance}$
$\text{(in ft) as}-2\text{ft with respect to time on}$
$\text{the number line.}$

The set of input values is called domain of a function.

In the graph, distance is represented by y-axis which is also the output value.

Time (in min) is the input values represented by the x-axis.

Therefore, the domain (input value) of the graph at -2 is 2 and 10.


$\therefore \text{The range of the domain is}2\le x\le 10$