How do you sketch #y=1-1/2e^-x#?

1 Answer
May 14, 2017

Graph in sections, one at a time. See below.

Explanation:

First, graph #y=e^x#
graph{e^x [-10, 10, -5, 5]}

Second, flip along the y-axis by negating x
graph{e^(-x) [-10, 10, -5, 5]}

Third, flip along the x-axis by negating the #e^-x#
graph{-e^(-x) [-10, 10, -5, 5]}

Fourth, raise the graph vertically by +1
graph{1-e^(-x) [-10, 10, -5, 5]}

Finally, change the shape by 1/2
graph{1-(1/2)e^(-x) [-10, 10, -5, 5]}