Edwin plotted a graph on Desmos (an online graphing tool), which was continuous and differentiable at every point. Later he remembered the form of the function f(x) that represents the graph but forgot some of the values that appeared in the expression. So he used m, n and p in place of the missing values and the function he wrote down had the following expression: f(x) = { e^(nx) + 3, x < 0; m + 1, x = 0; 5x + p, x > 0 } Can you help Edwin by finding the values of m, n, and p?
