How do you graph y=(6x-1)/(3x-1)y=6x−13x−1 using asymptotes, intercepts, end behavior?
1 Answer
graph{(6x-1)/(3x-1) [-10, 10, -5, 5]}
Explanation:
The domain of
is all
Look at the behavior of the function at the limits of the intervals of definition:
The limits are finite, so
There is a vertical asymptote at
The intercepts with the axis can be found as:
The derivative is:
and is always negative, so the function is strictly decreasing in the whole domain.
Summing it up, as
To the right of this line,