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Graph Rational Function f(x)=-6/(x^2+x-12) Using Vertical & Horizontal Asymptotes, x- & y-intercepts
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The rational function f(x)=-6/(x^2+x-12) can not be simplified so there are no holes. The function is then examined to find y-axis symmetry, origin symmetry, vertical asymptotes, horizontal asymptote, x-intercepts, and y-intercept. The function is then graphed and two more points are found to complete the graph.
Timestamps:
0:00 Factor f(x)=-6/(x^2+x-12)
1:10 y-axis & Origin Symmetry
3:55 y-intercept
4:47 x-intercept(s)
5:52 Vertical Asymptote(s)
6:51 Horizontal Asymptote
8:06 Calculate Extra Points
10:42 Sketch Graph
Timestamps:
0:00 Factor f(x)=-6/(x^2+x-12)
1:10 y-axis & Origin Symmetry
3:55 y-intercept
4:47 x-intercept(s)
5:52 Vertical Asymptote(s)
6:51 Horizontal Asymptote
8:06 Calculate Extra Points
10:42 Sketch Graph