Answer:
f(x) = 4*e^(0.05*x)
Step-by-step explanation:
We want to find the equation for the graph.
The first thing we can see, is that, as the value of x increases, also does the value of y.
So f(x) increases as x increases.
Then we can discard the options with negative exponents, as those decrease when x increases.
Then the remaining options are:
f(x) = 4*e^(0.05*x)
f(x) = 4*e^(0.5*x)
In the graph, we can see that:
f(5) ≈ 5
So let's check that with the two remaining options:
For the first one we have:
f(5) = 4*e^(0.05*5) = 5.13
While for the second option we have:
f(5) = 4*e^(0.5*5) = 48.73
Then the correct option is the first one:
f(x) = 4*e^(0.05*x)
