   Chapter 3.1, Problem 27E

Chapter
Section
Textbook Problem

# Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum values of f. (Use the graphs and transformations of Sections 1.2 and 1.3.) f ( x ) = { x 2         if − 1 ≤ x ≤ 0 2 − 3 x   if  0 < x ≤ 1

To determine

To sketch:

The graph of a function f by hand and then find the absolute and local maximum and minimum values of f.

Explanation

1) Concept:

Sketch graph of f, and then use definitions of absolute and local maximum and minimum values of f.

2) Definitions:

i) Let c be a number in the domain D of a function f. Then f(c) is the absolute maximum value of f on D if fc f(x) for all x in D and absolute minimum value of f on D if fcf(x) for all x in D.

ii) The number f(c) is a local maximum value of f  if fcf(x) when x is near c and local minimum value of f if fc fx  when x is near c.

3) Given:

fx=x2      if  -1 x 02-3x

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Find the value of the sum. 35. i=1n(i3i2)

Single Variable Calculus: Early Transcendentals, Volume I

#### Evaluate the integrals in Problems 7-18. 16.

Mathematical Applications for the Management, Life, and Social Sciences

#### True or False: converges conditionally.

Study Guide for Stewart's Multivariable Calculus, 8th

#### True or False: If , then converge absolutely.

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

#### Explain why plagiarism is unethical.

Research Methods for the Behavioral Sciences (MindTap Course List) 