Question

How do you make a table to graph `f(x) = 2 - e ^ (x / 2)`?

Answer 1

See below

Explanation:

Set a `nxx2` or 2xxn table with column 1 for `x` and column 2 `f(x)` Then for every value of x evaluate `f(x) = 2-e^(X/2)`
For example for when

`x=0` then `f(x) = 2-e^0=1`
`x=1` then `f(x) = 2-e^1/2~~.351`
`x=1` then `f(x) = 2-e^1~~-.718`
`vdots`

`[(x), (0), (1), (2), (3), (4), (5)][(f(x)), (1), (.351), (-.718), (2-e^(3/2)), (2-e^(2)), (2-e^(5))]`

`[(x, 0, 1, 2, 3, 4, cdots ), (f(x),1, 2-e^(1/2), 2-e, 2-e^(3/2), 2-e^(2), cdots) ]`

I tried to show you this primitive vertical and horizontal tables, best way to make a table to graph may be microsoft excel or google docs.
Try it...