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.

## Answer This Question

## Related Questions

- math - For the curve y = log(x+3), determine the following: A) the asymptotes, B...
- Calculus - Graph the following function. Find and state the domain, intercepts, ...
- math - sketch the curve using the domain, intercepts, symmetry, asymptotes, ...
- algebra - Can someone check my answers please and if Im wrong please explain. 1...
- algebra - For each of the rational functions find: a. domain b. holes c. ...
- Geomatry - For each of the rational functions find: a. domain b. holes c. ...
- algebra - Can someone check my answers on exploring conic sections? 1. Graph x2...
- pre-calcus - In the following function determine the domain, range, and ...
- math - PLEASE I NEED HELPPPPP.. i have many exercises like that, just want to ...
- math - A function f(x) has domain [0,25), range (-∞,5], and intercepts (2,...

More Related Questions