Question: 2)For the rational function:h(x)=(x^3 (x+2) (x-2)^2)/((x+3)(x-2) ) a.Explain how to determine the domain of h(x), then find the domain of h(x) b.Mathematically show how to
2)For the rational function:h(x)=(x^3 (x+2) (x-2)^2)/((x+3)(x-2) )
a.Explain how to determine the domain of h(x), then find the domain of h(x)
b.Mathematically show how to find the y-intercept and then find the y-intercept of the graph of h(x).
c.Find the x-intercepts of the graph of h(x), the multiplicity for each intercept, and determine whether the graph crosses or touches the x-axis at each x-intercept.
d.Find all points of discontinuity of h(x) and explain whether each is a vertical asymptote or a hole.
e.Mathematically, explain how you find the end behavior of each side of h(x), then describe the end behavior of h(x).Show your end behavior check(s).
f.Put all the information together and sketch the graph of h(x).
( Im having trouble understanding the lesson with the class now online and I was hoping you could explain this example problem)
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