Finding Constants for Continuity of Composite Function

[dylmans]

Homework Statement

Find the constants a and b such that the function is continuous on the entire real line.

Homework Equations

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

 

[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?

 

[dylmans]

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

 

[Dick]

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

 

[dylmans]

a=-1 and b=1, i don't have an algebra book but i got it somehow. do i need a new thread for each new problem i have?

 

[Dick]

a=-1 and b=1, i don't have an algebra book but i got it somehow. do i need a new thread for each new problem i have?

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