Question

Which function is shown on the graph below?

Answer 1

Please find attached the image.

The correct answer is option C

Explanation:

The blue line is in the opposite direction and it is not satisfying the given coordinates.

The red line is also not passing through the given coordinates.

The green line is passing trough the given coordinates. So this is the correct line showing the function.

Hence option C is the answer.

Answer 2

Answer:

Option (3) is correct.

The Function of given graph is $y=\log_3x$    

Step-by-step explanation:

 Given :  A graph .

We have to determine the function is shown on the graph.

Since, The given graph is a logarithmic graph.

So, Equation of logarithmic function is $y=\log_ax$    

And Given coordinate on graph are (1,0) and (3,1).

Then Put x = 3 and y = 1, we have,

$1=\log_a3$    

We know , $log_aa=1$

Therefore, a = 3

Thus,  $y=\log_3x$    

Also, Put x = 1 , we get

$\log_31=0=y$    

Thus, The Function of given graph is $y=\log_3x$