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# From the graph of $g$, state the intervals on which $g$ is continuous.

## $$\begin{array}{l}{[-3,-2)} \\ {(-2,-1)} \\ {(-1,0)} \\ {(0,1)} \\ {(1,3]}\end{array}$$

Limits

Derivatives

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##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

##### Michael J.

Idaho State University

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### Video Transcript

When was this 1? We're given this function G. And asked to state which state the interval in which G is She is continuous. All right, first of all, we can see that from three Inclusively two. Sorry, -3-1-1 exclusively because -1 is innocent. Oh, so -1 is not included in any kind of continuous function, is it? Okay. Next. What do we see mm Next we see that from minus one two zero were continuous. Right? We have this continuous function moving up through here. Okay then from zero to one. This curve right here we are continuous as well. And from one two he says putting these in black missy from one 23. This one here That curve is continuous but not at one. We have a dis continuity there and the curve ends at three so we can only go up to three. Okay, so we have these four areas where the curve is continuous over From -3 to -1 -1, 2, 001 And 12, 3.

DM
Oklahoma State University

#### Topics

Limits

Derivatives

##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

##### Michael J.

Idaho State University

Lectures

Join Bootcamp