Question 1138742

Given the function  {{{f(x)= log(2, (x-2))-1 }}}

1. Graph the function

{{{ graph( 600, 600, -10, 10, -10, 10, log(2, (x-2))-1) }}}

2. Find its domain & range

domain: { {{{x}}} element {{{R}}} : {{{x>2}}} }

range: {{{R}}} (all real numbers)

3. Write the equation of its asymptote

Vertical asymptote: {{{x=2}}}

{{{log(x - 2)/log(2) - 1}}}->{{{-infinity}}} as {{{x->2}}}

{{{drawing ( 600, 600, -10, 10, -10, 10,
line(2,-10,2,10),
graph( 600, 600, -10, 10, -10, 10, log(2, (x-2))-1)) }}}


Horizontal asymptote: {{{none }}}