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## Homework Statement

Given:

g(x) = {x+3 for x<-1, cx for -1≤x≤2, x+2 for x>2

Questions:

Find value of c such that g(x) is a)left continuous. b)right continuous.

## Homework Equations

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## The Attempt at a Solution

I tried using a method that used finding a point such as (-1,x) and (2,x) but seeing how c is in the middle equation, that didn't work out so well. So I'm stuck as to what to do.

I've done a question sort of like this a long time ago but it was just asking for f(x) to be continuous. Didn't specifically ask about left/right so I'm stumped there.