Question

sketch the graph of f
f(x)= x+ lx-1l/x-1

Answer 1

\[f(x)=x+\frac{|x-1|}x-1\]?

Answer 2

\[x+\frac{ \left| x-1 \right| }{ x-1 }\]

Answer 3

http://hotmath.com/util/hm_flash_movie.html?movie=/learning_activities/interactivities/function_grapher.swf&return_to=Algebra I Activities&title=Function Grapher

Answer 4

break this up into intervals....

Answer 5

There are two cases\[x-1<0\implies x<1\implies{|x-1|\over x-1}=-1\]\[x-1>0\implies x>1\implies{|x-1|\over x-1}=1\]so we can make a step function\[f(x)=\left\{\begin{array}yx-1~~~~\text{ for }~~~~x<1\\x+1~~~~\text{ for }~~~~x>1\end{array}\right.\]

Answer 6

at \(x=1\) f(x) is undefined

Answer 7

you should be able to graph that step function

Answer 8

alright thanks! :)

Answer 9

welcome!