Make the function continuous everywhere

I'm sorry to come back with another Calculus question, to those of you who see me asking often.

I'm trying to make the following function continuous.

if

if

if

I've seen simple examples which use limits to find the values but here I believe I would have to use the following limits, which will produce different values.

I honestly don't think this makes any sense.

Re: Make the function continuous everywhere

Re: Make the function continuous everywhere

Re: Make the function continuous everywhere

Quote:

Originally Posted by

**vaironxxrd** But that means we would get two answers?

=

=

and

Look you know that

so find the that makes

Re: Make the function continuous everywhere

Re: Make the function continuous everywhere

Quote:

Originally Posted by

**vaironxxrd** So to make this function continuous from 0<x<1...

b = -1

=

=

=

Therefore from x<0<1 the function is defined as ax+b = 2x -1