Question

Given the following function,
(a) find the domain,
(b) determine the vertical asymptote.
(c) submit the graph of the function
Please be sure to show all of your work.
y = log(-x) Given the following function,
(a) find the domain,
(b) determine the vertical asymptote.
(c) submit the graph of the function
Please be sure to show all of your work.
y = log(-x) @Mathematics

Answer 1

\[y=\log(-x) \]
we don't want the inside of ( ) to be negative
so we have -x inside
what can we make x so that the thing inside ( ) is positive?

Answer 2

Vertical asymptote...
You do the limit of:

\[\lim_{x->0}\log(-x)\]

You'd do so because your function is defined in ... x < 0 so... (-infinity;0)

Answer 3

alfie- so how do I put this?

Answer 4

domain is x<0 or (-inf,0)

Answer 5

\[\lim_{x \rightarrow 0^-}\log(-x)\]
see what happens as x approaches 0 from left

Answer 6

it moves to positive?

Answer 7

so then how do i type this to make a graph or what would the graph look like?!

Answer 8

Think about the logx graph and the domain.
Now you have a different domain, therefore a different graph, which is very similar to the logx one, but... :).

Answer 9

ok Im trying to figure out which formula to type into my calc to get a graph

Answer 10

so then would the line just stay never ending on the x-axis?