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Sketch the graph of a continuous function that has a relative maximum at $(1,1 / 2)$ a minimum at (-2,-5) and a maximum at (-3,1)

ANSWER IS GRAPH

Calculus 1 / AB

Chapter 3

Applications of the Derivative

Section 1

Extrema of a Function

Derivatives

Oregon State University

Harvey Mudd College

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 a func…

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Sketch a graph of a contin…

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Sketch a graph of a functi…

This exercise asks us to schedule growth of continuous function that has a relative maximum At a .1, a half and a minimum at a .1 -5 and a maximum at miners 31 Know that these are the three points. There are many choices but we just use a person a nerve function. The function is increasing To the left of Mexico's two Manner 3 and then decreasing. It's just a night connecting the point minus ray one and minus two minus five and then increasing. It's just connecting the .1 -5 and what off. And then it is too crazy. This is the expression of this function and know that this function satisfies all the conditions in the question.

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