The slant (or oblique) asymptote for that rational function is a straight (but not horizontal or vertical) line that shows where the graph goes, off to the sides.How do you find the slant (or oblique) asymptote?To find the slant asymptote, do the long division of the numerator by the ...
Find the horizontal asymptote of .Now that I know the rules about the powers, I don't have to do a table of values or draw the graph. I can just compare exponents. In this rational function, the highest power in each of the numerator and the denominator is the same; namely, the ...
Learn how to find asymptotes both algebraically and graphically. Discover how to calculate horizontal asymptotes and find equations of vertical and slant asymptotes. Related to this Question How do you find the horizontal asymptote of 4^x - 2?
We will use a given Rational Function as an Example to show Analytically, How to find a Vertical Asymptote and a Hole in the Graph of that Function. Let the Rational Function be,... f(x) = (x-2)/(x² – 5x + 6). Step 2 Factorizing the Denominator of f(x) = (x-2)/(x...
Step 3: If the degree of the numerator is greater than the degree of the denominator, then there is a slant/oblique asymptote (if the degree of the numerator is exactly one larger than the degree of the denominator), or the function is asymptotic to a polynomial. Either way, long divide...
1.a) Write an equation of a rational function thathas a graph with all of the indicated properties.b) Graph the function as well.i) x – intercept at 5ii) y intercept atiii) vertical asymptote of x =iv) horizontal asymptote of y =c) How many different equationsare possible?Explain....