Question

Why is this the correct graph for the function

y= x^2 -16 / x+4 ???

Please explain !

Answer 1

Hi!

To better understand, we need to factorize the function. That is,

`\mathsf{y=(x^2-16)/(x+4) =((x-4)(x+4))/((x+4))=x-4 }\\ \\ \\ \mathsf{y=x-4}`

In a 1st degree function the linear coefficient cuts the y-axis. in this case the 4.

Hope this helps, good studios!