SOLUTION: i need help with problem 38. please include all work in the answer. here is a pic of the problem http://imgur.com/3xJFgr3 thanks in advance

Algebra ->  Functions -> SOLUTION: i need help with problem 38. please include all work in the answer. here is a pic of the problem http://imgur.com/3xJFgr3 thanks in advance      Log On


   

Question 940158: i need help with problem 38. please include all work in the answer. here is a pic of the problem
http://imgur.com/3xJFgr3
thanks in advance
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

38.
Continuous Functions
A function is continuous when its graph is a single+unbroken curve.
The pictured function, for example, is piecewise continuous throughout its sub-domains, but is not continuous on the entire+domain. The pictured function contains a jump discontinuity at x=-2.

at x=-2 you can't say what the limit is, because in fact the limit does not exist at x=-2 (there is a "jump")
And so the function is not continuous.