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From the graph of $ g $, state the intervals on which $ g $ is continuous.
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02:22
Daniel Jaimes
Calculus 1 / AB
Chapter 2
Limits and Derivatives
Section 5
Continuity
Limits
Derivatives
Harvey Mudd College
Baylor University
Boston College
Lectures
04:40
In mathematics, the limit of a function is the value that the function gets very close to as the input approaches some value. Thus, it is referred to as the function value or output value.
In mathematics, a derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a moving object with respect to time is the object's velocity. The concept of a derivative developed as a way to measure the steepness of a curve; the concept was ultimately generalized and now "derivative" is often used to refer to the relationship between two variables, independent and dependent, and to various related notions, such as the differential.
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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.
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