Consider the function f(x) where p(r) = 2x² - 5x +2 and q(x) 9(x) 2x4-4x3-5a2 – 2x -3. (a) List all possible rational roots/zeros of q(x) according to the rational root/zero theorem. (b) Find the equation(s) of any vertical asymptote(s) of f. If there are none, write NONE. (c) Find the equation(s) of any horizontal asymptote(s) of f. If there are none, NONE. write

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the function f(x) =
p(x)
where p(r) = 2x² - 5x +2 and q(x)
5.
q(x)
2x4 - 4x3- 5? – 2x 3.
(a) List all possible rational roots/zeros of q(x) according to the rational root/zero
theorem.
(b) Find the equation(s) of any vertical asymptote(s) of f. If there are none, write
NONE.
(c) Find the equation(s) of any horizontal asymptote(s) of f. If there are none, write
NONE.
(d) Find any x-intercepts of f as ordered pairs. If there are none, write NONE.
Transcribed Image Text:Consider the function f(x) = p(x) where p(r) = 2x² - 5x +2 and q(x) 5. q(x) 2x4 - 4x3- 5? – 2x 3. (a) List all possible rational roots/zeros of q(x) according to the rational root/zero theorem. (b) Find the equation(s) of any vertical asymptote(s) of f. If there are none, write NONE. (c) Find the equation(s) of any horizontal asymptote(s) of f. If there are none, write NONE. (d) Find any x-intercepts of f as ordered pairs. If there are none, write NONE.
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