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Decide whether the function whose graph is shown is continuous. If it is not continuous, identify the $x$ -values at which it is discontinuous and classify the discontinuity.Figure 9

Continuous function

Calculus 1 / AB

Chapter 2

An Introduction to Calculus

Section 3

Limits and Continuity

Derivatives

Campbell University

Baylor University

Idaho State University

Boston College

Lectures

04:40

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.

30:01

In mathematics, the derivative of a function of a real variable measures the sensitivity to change of the function value (the rate of change of the value of the function). If the derivative of a function at a chosen input value equals a constant value, the function is said to be a constant function. In this case the derivative itself is the constant of the function, and is called the constant of integration.

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Decide whether the functio…

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Determine whether or not t…

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Decide whether or not the …

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Use a graph to determine w…

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Describe the interval(s) o…

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Yeah, in Problem 37 and exercise 37. We had to decide whether the function whose growth is shown in the in the living window is continuous or not. If it is not continuous identity, we have to identify the X values at which it is not continuous and we have to college and we have to class for either discontinuity as well. So how we come to know that the function is continuous from its grab? So ah, curve or a graph shows that if a function is continuous, if it has, if it has no holes, no jumps or breaks, no germs are brakes. And the third condition is no as, um, thoughts. No as, um, dogs. Yes, you can see that the figure nine. The graph in this graph. In this figure, there is no holes, no germs and no Adam towards so we can conclude that the function with growth is given is continuous for all values off X

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