(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Determine whether the given function is continuous. If it is not, identify where it is discontinuous and which condition fails to hold.

f(x)= {x^3 if x < or = -2

{2 if x > -2

2. Relevant equations

The conditions are that a function is said to be continuous at x=c if the following conditions hold:

1 f(c) exists

2 lim as x approaches c f(x) exists

3 lim as x approaches c f(x) = f(c)

3. The attempt at a solution

My professor has not explained this and has assigned it...no clue what to do!

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Piece-Wise Function Continuity

**Physics Forums | Science Articles, Homework Help, Discussion**