Create a Piecewise function that: a) has infinitely many vertical asymptotes and infinitely many x-intercepts on the interval (-7,-6) b) has infinitely many vertical asymptotes and no x-intercept on (0,7) c) has infinitely many x-intercepts and no vertical asymptotes on (70,700)
Create a Piecewise function that: a) has infinitely many vertical asymptotes and infinitely many x-intercepts on the interval (-7,-6) b) has infinitely many vertical asymptotes and no x-intercept on (0,7) c) has infinitely many x-intercepts and no vertical asymptotes on (70,700)
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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Create a
a) has infinitely many vertical asymptotes and infinitely many x-intercepts on the interval (-7,-6)
b) has infinitely many vertical asymptotes and no x-intercept on (0,7)
c) has infinitely many x-intercepts and no vertical asymptotes on (70,700)
d) is continuous and greater than 10^100 on [-6, 0], and
e) is continuous and less than -100! on [7,70]
You must express the function and all its zeros and asymptotes algebraically.
What software or technology would you use to graph such a function? Explain.
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