Question

$\text{Analyse the given graph and the}$
$\text{equation y =}0.5x$


After analyzing, select the correct statement.

• A. Both of them represent a function
• B. Both of them do not represent a function
• C. Only the graph represents a function
• D. Only the equation represents a function

Answer 1

The correct option is D Only the equation represents a function

Let us take two points (1,0) and (1,8) on the grpah and observe it.


In (1, 0) and (1, 8), 1 is the only input value and 0 and 8 are the output values.

So, it is not a function.

$\text{From equation y =}0.5x,\text{we can observe:}$

When x = 1, y = 0.5
When x = 2, y = 1
When x = 4, y = 2
​​​​
For any input value (x) there will be a output value (y). So, it is relation as well as a function.

Therefore, only the equation represents a function.