math problems?

Question

Use shifts and/or reflections to graph each function. Determine the domain, range, and vertical asymptote of each function.

1. f(x) = In (x + 4)

2. f(x) = 2 + In x

3. f(x) = log(x - 4)

Can you help me find the points of these problems so I can write the graph! I just don't know how you find the points in these problems to write graph from!

Answer 1

Find graph of ln(x) and then shift it four units to the left.
To find points use a calculator. Realize that x>0. Domain is (0,infinity). Range is (-infinity,infinity). There are no vertical asymptotes. After you shift left 4 units, the Domain changes to (-4,infinity).

2+ln x just shifts the graph of ln(x) up 2 units

log (x-4) is graph of log(x) shifted to right 4 units.
log similar to ln