Question

I need help with a piecewise function(:
f(x)=1/4x+5/4 if x x

Answer 1

So now what are we supposed to do?

Answer 2

I have no idea...hahah @johnweldon1993

Answer 3

They give me answers either a,b,c, or d...

Answer 4

I would assume you need to find values of a and b that would make this piece wise function continuous.

Answer 5

But then you have a domain error, and that is because x=a and x=b are excluded from the domain, so you need \(\le\) and \(\ge\) in correct places.

Answer 6

it doesn't matter which part includes a and which part includes b in the domain, but would be nice you post the correct version of the peace wise function.

Answer 7

But, in any case, if I ignore this error for now, but the following 2 statements must be true.

at x=a, must be that:
1/4x+5/4 = 2x+3

at x=b, must be that:
2x+3 = -3x+18

Answer 8

I attatched it..does that help? @SolomonZelman

Answer 9

Yes, I knew it and I was exactly correct, whether that is usual for me or not....

Answer 10

yes, just as I assumed, and in any case, now we can surely proceed to me previous comment:

For the function to be continous:


at x=a, must be that:
1/4x+5/4 = 2x+3

at x=b, must be that:
2x+3 = -3x+18

Answer 11

so,

a/4+5/4=2x+3 --> (a+5)/4=2a+3 --> a+5=8a+12
--> -7=7a --> a=-1

and you solve for b