For the equation f(x) = L/ 1 + e^-kx (L and k are positive constants) a) Give the slope of the curve at x = 0 b) Give the limit as x goes to infinity c) Give the limit as x goes to negative infinity d) Give the y intercept. e) Find the derivative and use it to determine where the function is increasing and where it is decreasing. f) Find the second derivative and use it to determine where the graph is concave up and concave down