Posted by Jonah on Thursday, October 10, 2013 at 7:55pm.
How can you tell where on a graph f is discontinuous? What are the criteria?

Calculus  Steve, Thursday, October 10, 2013 at 7:57pm
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.

Calculus  Jonah, Thursday, October 10, 2013 at 8:03pm
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.

Calculus  Steve, Friday, October 11, 2013 at 4:45am
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.

Calculus  Jonah, Friday, October 11, 2013 at 7:56am
Alright I was clarifying since it's going to be graded. Doesn't hurt, does it?
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