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)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.2: Graphs Of Equations

Problem 78E

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Question

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)

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.

Definition Definition Group of one or more functions defined at different and non-overlapping domains. The rule of a piecewise function is different for different pieces or portions of the domain.

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