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?

## Answer this Question

## Related Questions

- calculus - Determine the values of x, if any, at which each function is ...
- Calculus - Determine the values of x, if any, at which each function is ...
- Calculus- continuity - Discuss the continuity of f(x)= sin x/x^2 - 9 That is, ...
- calculus - Suppose h(x) = f (g(x)) and the graphs of f and g are shown below. ...
- calculus - An electrical circuit switches instantaneously from a 3 volt battery ...
- Calculus Quiz Today - 1. find the values of s for which each function is ...
- psy - Psychologists generally agree that developmental change is characterized ...
- Calculus - An electrical circuit switches instantaneously from a 2 volt battery...
- Calculus - determine where f(x)={x^2-5x+6/x-3, if x<3 {1/x-2, if x>3 is ...
- Calculus - Determine all values of x for which each function is discontinuous. F...