Which of these functions could have the graph shown below?

Answer: B. [tex]f(x) = 40e^x.[/tex]
Step-by-step explanation:
Given an exponential growth function graph.
We need to find the equation of given graph of exponential growth function.
From the graph, we can see that y-intercept is 40.
y-intercept represents initial value of y where x=0.
In the given options, we can see that second option [tex]f(x)=40e^x[/tex] has initial value y=40 for x=0.
Therefore, for the given graph the exponential function would be [tex]f(x) = 40e^x.[/tex]