Sketch the graph of the rational function.

Question

jagr2713 · Answer

$$f(x)=\frac{ (x-1)(x+4) }{ (x-1)^{2} }$$

usukidoll · Answer

we could cancel out the (x-1) since there is one on the top and bottom

usukidoll · Answer

but the thing is we have a restriction going on... 
x can't be that certain number otherwise the function will be undefined.

jagr2713 · Answer

https://gyazo.com/25be63ac9d1caaaf5f80b54fdae80e1d

jagr2713 · Answer

So how would we graph this

usukidoll · Answer

ok.. 
$$f(x) = \frac{x+4}{x-1}$$ because the x-1 already canceled itself

so what x can't we have.. so first solve x-1=0 because it will tell you which number can't be x

usukidoll · Answer

because if we have like 2/0 we have an undefined case. so nothing should be graphed there

usukidoll · Answer

and then afterwards create a chart 
like

|dw:1456896201109:dw| plug x into the function