Question #260438

WRITTEN TASK


Quiz 1. 8 Make your own logarithmic function and then construct a graph.


Identify the following:


a.Domain


b.Range


c.X and y – intercepts


d.Zeroes


e.Asymptotes

1
Expert's answer
2021-11-04T18:56:53-0400

Logarithmic function: y=logx21y=\log\sqrt{x^2-1}


a. Domain: (,1)(1,)(-\infin,-1)\cup(1,\infin)


b. Range: (,)(-\infin,\infin)


c. x-intercepts: (2,0),  (2,0)(-\sqrt{2},0),\;(\sqrt{2},0)

y-intercept: DNE


d. Zeroes: x=2,  x=2x=-\sqrt{2},\;x=\sqrt{2}


e. Vertical asymptotes: y=1,  y=1y=-1,\;y=1


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