This function is never 0, so there are no x-intercepts. The y-intercept is (0,1). For the sake of future graphing, notice this means f (x) is always positive sinceit can't cross the x-axis to become negative.
The derivative is f'(x) = ex. Since this is never zero or undefined, there are no critical points.
The second derivative is f"(x) = ex. Since this is never zero or undefined, there are no possible inflection points.