SOLUTION: Given the function f(x)=〖log〗_2 (x-2)-1. 1. Graph the function 2. Find its domain & range 3. Write the equation of its asymptote

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Given the function f(x)=〖log〗_2 (x-2)-1. 1. Graph the function 2. Find its domain & range 3. Write the equation of its asymptote       Log On


   

Question 1138742: Given the function f(x)=〖log〗_2 (x-2)-1.
1. Graph the function
2. Find its domain & range
3. Write the equation of its asymptote

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Given the function f%28x%29=+log%282%2C+%28x-2%29%29-1+
1. Graph the function
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+log%282%2C+%28x-2%29%29-1%29+
2. Find its domain & range
domain: { x element R : x%3E2 }
range: R (all real numbers)
3. Write the equation of its asymptote
Vertical asymptote: x=2
log%28x+-+2%29%2Flog%282%29+-+1->-infinity as x-%3E2


Horizontal asymptote: none+