The maximum value of the function  `h : [0,2] -> R, \ h(x) = (x - 2)e^x`  is

1. `-e`
2. `0`
3. `1`
4. `2`
5. `e`

The graph of the function  `f(x) = e^(2x) - 2`  intersects the graph of  `g(x) = e^x`  where

1. `x = -1`
2. `x = log_e(2)`
3. `x = 2`
4. `x = (1 + sqrt 7)/2`
5. `x = log_e((1 + sqrt 7)/2)`