Question

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

Answer 1

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]}