# Graph y = log of x-1+1

Find the asymptotes.
Find where the expression is undefined.
Since as from the left and as from the right, then is a vertical asymptote.
Ignoring the logarithm, consider the rational function where is the degree of the numerator and is the degree of the denominator.
1. If , then the x-axis, , is the horizontal asymptote.
2. If , then the horizontal asymptote is the line .
3. If , then there is no horizontal asymptote (there is an oblique asymptote).
There are no horizontal asymptotes because is .
No Horizontal Asymptotes
No oblique asymptotes are present for logarithmic and trigonometric functions.
No Oblique Asymptotes
This is the set of all asymptotes.
Vertical Asymptotes:
No Horizontal Asymptotes
Vertical Asymptotes:
No Horizontal Asymptotes
Find the point at .
Replace the variable with in the expression.
Simplify the result.
Simplify each term.
Subtract from .
Logarithm base of is .
Convert to decimal.
Find the point at .
Replace the variable with in the expression.
Simplify the result.
Simplify each term.
Subtract from .
Logarithm base of is .
Convert to decimal.
Find the point at .
Replace the variable with in the expression.
Simplify the result.
Subtract from .