Question

Which function is shown in the graph below ?

Answer 1

The answer would be c

Answer 2

It has been given that the point (3,1) is on the graph. For the point (3,1) to be on the graph, the following must hold true:

$1=log_{10}(ax)$

or $ax=10^1=10$

Thus, $x=\frac{10}{a}$

Thus, in order for the point (3,1) to lie on the graph, of all the given options the closest we can get is when we have Option C, that is, when a=3. That will make x=3.33 and thus, $log(3\times3.33)\approx0.99957\approx1$.

Thus, out of the given options only Option C seems to be the most probable answer.