Question

Sketch the graph of the rational function.

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

https://gyazo.com/25be63ac9d1caaaf5f80b54fdae80e1d

Answer 5

So how would we graph this

Answer 6

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

Answer 7

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

Answer 8

and then afterwards create a chart
like

plug x into the function