Find the absolute extrema if they exist, as well as all values of x where they occur, for the function

f(x)=x+e^2x on the domain [1,4].

Part1

A. The absolute maximum is___which occurs at x=__

(Round the absolute maximum to two decimal places as needed. Type an exact answer for the value of x where the maximum occurs. Use a comma to separate answers as needed.)

B

There is no absolute maximum.

A. The absolute minimum is___ which occurs at x=___

(Round the absolute minimum to two decimal places as needed. Type an exact answer for the value of x where the minimum occurs. Use a comma to separate answers as needed.)

B

There is no absolute minimum.