Posted by **Adam** on Sunday, April 7, 2013 at 10:18pm.

For the curve y = log(x+3)

determine the following:

a) asymptotes, if any.

b) intercepts, if any.

c) domain and range

- math -
**Reiny**, Sunday, April 7, 2013 at 11:15pm
you should be familiar with the function

y = log x , which has the y-axis as an asymptote

this one is simply moved to the left 3 units

so the vertical asymptote is x = -3

intercepts :

for y-intercepts let x = 0 --- y = log3

for x-intercepts let y = 0

then log(x+3) = 0

we know log 1 = 0, so x+3 = 1

x = -2

domain: from our definition of logs, x+3 > 0 ---> x > -3

from knowing the basic graph, the range is any real number.

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