Pearson eText for Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry -- Instant Access (Pearson+)

4th Edition

ISBN: 9780137399635

Author: Michael Sullivan, Michael Sullivan

Publisher: PEARSON+

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Minimization

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Maxima and Minima

The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.

Derivatives

A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which …

Concavity

In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the …

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Textbook Question

Chapter 1, Problem 22RE

In problems 25 and 26 , use a graphing utility to graph each function over the indicated interval. Approximate any local maximum values and local minimum values. Determine where the function is increasing and where it is decreasing.

f ( x ) = 2 x 3 − 5 x + 1 ( − 3 , 3 )

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Chapter 1, Problem 21RE

Chapter 1, Problem 23RE

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Chapter 1 Solutions

Pearson eText for Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry -- Instant Access (Pearson+)

Ch. 1.1 - The inequality 1x3 can be written in interval...Ch. 1.1 - 2. If , the value of the expression is _______ ...Ch. 1.1 - 3. The domain of the variable in the expression is...Ch. 1.1 - 4. Solve the inequality: . Graph the solution set....Ch. 1.1 - To rationalize the denominator of 3 5 2 , multiply...Ch. 1.1 - 6. A quotient is considered rationalized if its...Ch. 1.1 - If f is a function defined by the equation y=f(x),...Ch. 1.1 - If f(x)=x+1 and g(x)=x3, then ____________x3(x+1).Ch. 1.1 - True or False Every relation is a function.Ch. 1.1 - True or False The domain (f.g)(x) consists of the...

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In problems 25 and 26 , use a graphing utility to graph each function over the indicated interval. Approximate any local maximum values and local minimum values. Determine where the function is increasing and where it is decreasing. f ( x ) = 2 x 3 − 5 x + 1 ( − 3 , 3 )

Solution Summary: The author explains how to determine the graph of the function f(x)=2x3-5x+1 using graphing utility.

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Chapter 1 Solutions