We want to know which function is shown in the graph below. We will see that the function is f(x) = 0.559*ln(x)So is easy to know that the function is a logarithmic function, so it is something like:f(x) = A*ln(x) + cSuch that:f(1) = 0f(6) = 1Then we can write:A*ln(1) + c = 0A*ln(6) + c = 1So we have a system of equationsWe can rewrite the first one as:c = -A*ln(1) = 0Replacing that in the other equation we get:A*ln(6) - 0 = 1So we have:A*ln(6) = 1A*1.79 = 1A = 1/1.79 = 0.559Then the function is:f(x) = 0.559*ln(x)If you want to learn more, you can read: