Approximate the solutions for system of equations.

Use a graph to approximate the solutions for the following system of equations. Find $f(x) - g(x)$ for your estimates.
$f(x) = 2^x$
$g(x) = x + 2$

1. Graph $f(x) = 2^x$ and $g(x) = x + 2$ on the same coordinate plane.
   
2. Approximate the values for x where $f(x) = g(x)$.
   
3. Evaluate $f(x) = 2^x$ and $g(x) = x + 2$ for $x = 2$.
   
4. Find the difference in the y-values for the equations.
   
5. Evaluate $f(x) = 2^x$ and $g(x) = x + 2$ for $x = -2$.
   
6. Find the difference in the y-values for the equations.