x2 – 4 - a) f(x) = b) f(x) = x + 1 1 i) Find the domain and, if any, the intercepts of f(x). ii) If any, find the horizontal asymptotes of f(x). Gnd th 1.1:
x2 – 4 - a) f(x) = b) f(x) = x + 1 1 i) Find the domain and, if any, the intercepts of f(x). ii) If any, find the horizontal asymptotes of f(x). Gnd th 1.1:
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Graph the following functions
x² – 4
a) f(x) =
b) f(x) =
x + 1
x² – 1
i) Find the domain and, if any, the intercepts of f(x).
ii) If any, find the horizontal asymptotes of f (x).
iii) If any, find the oblique asymptotes of f(x).
iv) If any, find the vertical asymptotes of f(x).
v) Find the intervals on which the function is increasing and decreasing, and identify the
function's local extreme values, if any, saying where they are taken on.
vi) Identify the concavity and, if any, find the points of inflection.
vii) By using all obtained above, graph the curve of y = f(x).
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