Function f(x), represented by the graph, is ? The value of f(150), rounded to nearest hundredth, is ?

logarithmicSOLUTION:
Step 1 :
In this question, we are meant to study the graph and then figure out the nature of the graph and then use it to find the value of f ( 150 ).
Step 2 :
The graph is as shown below:
Step 3 :
From the graph, we can see that the unknown function is:
[tex]f(x)\text{ = 1. 365 log 0.9 x}[/tex][tex]\begin{gathered} \text{when x = 150, we have that:} \\ f(\text{ 150 ) = 1. 365 log ( 0.9 x 150 )} \\ =\text{ 1.365 log ( 135 )} \\ =\text{ 1.365 x 2. 13033} \\ =\text{ 2.90790045} \\ \approx\text{ 2.91} \end{gathered}[/tex]The nearest answer to it is 2.80.
CONCLUSION:
The final answer is 2.80.
Function f(x), represented by the graph is logarithmic.