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sketch a graph with given properties of $f'(x)$

Discussion in 'Mathematics' started by Carrie Streett, Aug 2, 2020 at 2:25 AM.

  1. Sketch a graph with given properties:

    $(i)\quad$ Continuous everywhere except for where a vertical asymptote at $x=0$

    $(ii)\quad$$ f'(x)<0$ for $-\infty <x<0$

    $(iii)\quad$ $f'(x)>0$ for $0<x<\infty$

    $(iv)\quad$ $f''(x)<0$ for $-\infty<x<0$

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