Answer to Question #260438 in Math for kleve

Question

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

Answer 1

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

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

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

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

y-intercept: DNE

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

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