Determine the values of A,B,C and D so that F(x) is continuous. {x^2+x-2/X-1 x

Question

Determine the values of A,B,C and D so that F(x) is continuous.

{x^2+x-2/X-1       x<1
 F(x)= {A                            x=1
           {B(x-C)^2          1<x<4
           {D                            x=4
           {2x-8                      x>4

anonymous · Answer

You can find the heights at the start and finish by plugging in the given x values.
e.g. {x^2+x-2/X-1       x<1  --> y=(1)^2+(1)-2
That'll tell you where the next one has to connect to make it continuous.

anonymous · Answer

But what happened to the denominator? if you expand the numerator the numerator will cancel is that right?|dw:1349056519126:dw|