Open In App

Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

Chapter 2: Q. 31 (page 166)

Each graph in Exercises 31–34 can be thought of as the associated slope function f' for some unknown function f. In each case sketch a possible graph of f.

Short Answer

Expert verified

The graph is:

Step by step solution

Step 1. Given Information

We are given the associated slope function f' for some unknown function f and we need to sketch a possible graph of f.

Step 2. Finding the graph

The function increases from $- 2 < x < 0$ and decreases for $x < - 2$ and $x > 0$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Find the derivatives of the functions in Exercises 21–46. Keep in mind that it may be convenient to do some preliminary algebra before differentiating.

$f (x) = \frac{1}{\sqrt{x^{2} + 1}}$

For each function $f$ graphed in Exercises 65-68, determine the values of $x$ at which $f$ fails to be continuous and/or differentiable. At such points, determine any left or right continuity or differentiability. Sketch secant lines supporting your answers.

For each function $f (x)$ and interval $[a, b]$ in Exercises $81 - 86$ , use the Intermediate Value Theorem to argue that the function must have at least one real root on $[a, b]$ . Then apply Newton’s method to approximate that root.

$f (x) = x^{3} + 1, [a, b] = [- 2, 1]$

Prove that if f is a quadratic polynomial function $f (x) = a x^{2} + b x + c$ then the coefficient of f are completely determined by the values of f(x) and its derivatives at x=0 as follows

$a = \frac{f " (0)}{2}; b = f' (0); c = f (0)$

Use (a) the $h \to 0$ definition of the derivative and then

(b) the $z \to c$ definition of the derivative to find $f' (c)$ for each function f and value $x = c$ in Exercises 23–38.

24. $f (x) = x^{3}, x = 1$

See all solutions

Recommended explanations on Math Textbooks

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free

Each graph in Exercises 31–34 can be thought of as the associated slope function f' for some unknown function f. In each case sketch a possible graph of f.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Finding the graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Calculus

Decision Maths

Applied Mathematics

Theoretical and Mathematical Physics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Company

Product

Help