Which of the following could be the function graphed?

The answer is  

Step-by-step explanation: We are given four different functions of the variable 'x' and a graph. We are told to select one of the four options that which function can be graphed as the graph given in the question.

To check, we start plotting the functions one by one on a graph paper. We see that the graph of first three functions do not match with the given graph, but the graph of the fourth function given by

matches exactly with the graph given in the question. The attached figure will show the graph for this function, which is exactly same as given.

Thus, the correct option is

D

Step-by-step explanation: