# Continuity Of Composites

1. Feb 3, 2008

### dylmans

1. The problem statement, all variables and given/known data
Find the constants a and b such that the function is continuous on the entire real line.

2. Relevant equations
f(x)={2, x< or = -1
{ax + b, -1<x<3
{-2, x> or = 3

3. The attempt at a solution
I don't know where to start.

If anyone is willing to help me with my calculus make up work let me know. I don't get it at all.

2. Feb 3, 2008

### Dick

This isn't really calculus. You need to pick a and b so that a*(-1)+b=2 and a*(3)+b=-2. Do you see why?

3. Feb 3, 2008

### dylmans

haha sorry it is in my calculus book. ya i think i do. but how would you get a and b then?

4. Feb 3, 2008

### Dick

You would solve the two simultaneous equations -a+b=2 and 3a+b=(-2). I think that's in your algebra book.

5. Feb 3, 2008

### dylmans

a=-1 and b=1, i dont have an algebra book but i got it somehow. do i need a new thread for each new problem i have?

6. Feb 3, 2008

### Dick

You don't have to. But you'll get better response time if you do. Posts with zero replies get much more attention.