Asked by Jonah

How can you tell where on a graph f is discontinuous? What are the criteria?
Answered by Steve
usually there will be a fraction involved. Wherever the denominator is zero, f(x) will be undefined.

Or there may be a square root or logarith. f(x) not defined when the radicand is negative.

In general, look for values where f(x) is not defined; it is discontinuous there.
Answered by Jonah
What if there isn't a fraction at all and it's just a graph with a function on it? My homework doesn't have a given expression of a function just a graphical representation of it.
Answered by Steve
If all you have is the graph, then if there are any vertical asymptotes or holes in the graph, that's where f(x) is discontinuous.

I mean, jeez. you must have an intuitive feel for what "continuous" means. Math usually tries to use words that already have meaning.
Answered by Jonah
Alright I was clarifying since it's going to be graded. Doesn't hurt, does it?
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