Math  /  Algebra

QuestionExtra credit 2: Let r(x)=(x+3)(x2)2(x1)4r(x) = \frac{(x+3)(x-2)^2}{(x-1)^4}
a) Are there any holes? If so, where are they?
b) What are the intercepts of r(x)r(x)? x-intercepts: y-intercept:
c) What is/are the vertical asymptote(s) of r(x)r(x)?
d) What is the horizontal asymptote of r(x)r(x)?
e) Use parts a-d to sketch the graph of r(x)r(x) below.

Studdy Solution
Use the information to sketch the graph: - X-intercepts at x=3 x = -3 and x=2 x = 2 . - Y-intercept at y=12 y = 12 . - Vertical asymptote at x=1 x = 1 . - Horizontal asymptote at y=0 y = 0 .

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