Question

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

Answer 1

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:

`f(x)\text{ = 1. 365 log 0.9 x}`
`\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}`

The nearest answer to it is 2.80.

CONCLUSION:

The final answer is 2.80.

Function f(x), represented by the graph is logarithmic.