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Sketch the graph of a continuous function defined on $-5 \leq x \leq 3$, that has relative maxima at $(x=-1)$ and $(x=3)$ and a relative minimum at $(x=0)$

ANSWER IS GRAPH

Calculus 1 / AB

Chapter 3

Applications of the Derivative

Section 1

Extrema of a Function

Derivatives

Oregon State University

Baylor University

University of Nottingham

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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Sketch the graph of the fu…

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Sketch the graph of a func…

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Sketch a graph of a functi…

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Sketch the graph of a cont…

This exercise asks us to schedule graph of a continuous function to find out -5-3. And it has relative maximum, ads, thank you negative what is free and relative minimum at zero. Mhm. And we can trust to use this. Mhm. Peace leaner function. That is the function is increasing and leaner From -5 to -3 and decreasing from minors 1- zero and then increasing from 0 to 3 and then decreasing. Know that this function satisfies all the conditions of the exercise, and this is the expression of this function. Yeah.

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