#### To determine

**To discuss:** the graph y=11+e−x

#### Answer

Please see the graph

#### Explanation

1.Domain : ℝ

2.Intercepts: Put x=0, we get y=12 as the y intercept.

3.Symmetry: The curve is not symmetrical about the X-axis and Y-axis

4.Asymptotes: No vertcal asymptote but as x→∞,y=1, so y=1 is a horizontal asymptote

5.Interval of Increasing or decreasing: The function y=11+e−x is increasing in (−∞,∞)

6.Local maxima or minima : No critical point, hence no local maxima or minima

7 See the Sketch

**Conclusion:** Please see the above graph