## haterofmath one year ago Graph the function, not by plotting points, but by starting from the graphs in the figures below. State the domain, range, and asymptote. y = 1 + log3 x

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1. wio

Uhhh what?

2. wio

Everyone is welcome on this site.

3. satellite73

it is $$y=1+\log_3(x)$$ ?

4. satellite73

you cannot take the log of a non - positive number, so domain is $(0,\infty)$

5. satellite73

range of log is all real numbers, so range of $$1+\log_3(x)$$ is also all real numbers $$\mathbb{R}$$

6. satellite73

there is no horizontal asymptote, but there is a vertical asymptote at $$x=0$$ as the function goes to $$-\infty$$ as $$x\to 0$$

7. satellite73

here is a nice picture, make sure you click on "real valued plot" because wolfram will give you the complex log if you are not careful http://www.wolframalpha.com/input/?i=1%2Blog%28x%29

8. satellite73

actually, here is one for $$y=1+\log_3(x)$$ http://www.wolframalpha.com/input/?i=1%2Blog_3%28x%29