The graph in the question is of the function f(x)= which is option a.
Given a graph which is downward sloping and we are required to find the function whose the graph is.
Function is like a relationship between two or more variables expressed in equal to form. It may be a linear function,exponential function, logarithmic function or quadratic function.
In the given graph the values of y becomes negative when the curve crosses then x axis. For all x>1 the value of log x is greater than 0. So the value of should be greater than 0 for x greater than 1. But in graph it is negative. That's why the graph will be of y=
.
Hence the given graph is of the function f(x)= which is option a.
Learn more about function at brainly.com/question/10439235
#SPJ1