Question

For the graph shown choose the correct statement from the following:

• A. Graph represents a non-linear function.
• B. Slope of line at different points on the graph are equal.
• C. Graph represents a linear function.
• D. Slope of line at different points is decreasing.

Answer 1

The correct option is A Graph represents a non-linear function.


Consider the points (0, 0) and (1, 1)

$\text{Slope =}\frac{Changeiny}{Changeinx}$

Putting the value,
$\text{Slope =}\frac{1-0}{1-0}=1$

Now, consider the points (2, 4) and (2.5, 6.25)

Putting the value,
$\text{Slope =}\frac{6.25-4}{2.5-2}=\frac{2.25}{0.5}=4.5$

Observing the graph, the slope of the graph is not constant and is increasing with days.

So, the graph represents a non-linear function.