A slant asymptote is a straight line that a graph approaches but never touches as it extends towards infinity or negative infinity. It is also known as an oblique asymptote.
A slant asymptote can be identified by examining the end behavior of a graph. If the degree of the numerator is one more than the degree of the denominator, then the graph will have a slant asymptote.
No, a slant asymptote cannot intersect a graph. It is a line that the graph approaches but never touches.
No, not all rational functions have a slant asymptote. For a rational function to have a slant asymptote, the degree of the numerator must be one more than the degree of the denominator.
To graph a slant asymptote, you can use the equation y = mx + b, where m is the slope of the asymptote and b is the y-intercept. You can also plot several points on either side of the asymptote to get a better understanding of its shape and location.