This problem is about graphing rational functions. The equations is a fraction with polynomials on both numerator and denominator. The problem contains several steps in order to graph the function and it's asymptotes. In order to graph it, we must find the domain, x-intercept(s), y-intercept(s), and a few points. This problem also contains:
a numerator with a degree of 3
a denominator with a degree of 2
one hole
- one vertical asymptote
The viewer needs to pay special attention to the degrees to understand the rules of finding the asymptotes.(There is no horizaontal asymptote because the degree is bigger on the top. To find the slant asymptote,, long division is used. Factor and simplify the equation, and make the denominator equal to 0 to find the vertical asymptote. The common factors are equaled to 0 and are the holes.) The viewer also needs to pay attention the graph. In order for the graph to fit, the intervals were changed: x by 1s and y by 2s. Remember that DIVAH stands for Domain Is Vertical Asymptote(s) and Holes.To find the x-intercept(s), y equals to 0, and vice versa.
No comments:
Post a Comment