\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Consider the function \(g(x) = e^x - 2\).
  1. Calculate the \(y\)-intercept of the graph of \(g\).
    \(y=\)
  2. Determine the equation of the horizontal asymptote of \(g\).
    \(y=\)