Question

How do you make a table to graph `f(x)=3^(x - 2)`?

Answer 1

f(x) = `3^x/9`
`{(x, f(x))}: (-oo, 0) (0, 1/9), (1, 1/3) (2, 1) (3, 3) (4, 9) (5, 27) ..( n. 3^(n-2)), (+oo, +oo).`

Explanation:

The first and the last are limits and reveal the limiting trends.
In the first quadrant f(x) increases gently from near 0 to 1/9.
The rate of increase is increasing with x.
Being an exponential function, f(x) > 0.