Log In Start studying!

Select your language

Suggested languages for you:

Americas

English (US)

Europe

Q39.

Expert-verified

Precalculus Mathematics for Calculus

Found in: Page 157

Book edition 7th Edition

Author(s) James Stewart, Lothar Redlin, Saleem Watson

Pages 948 pages

ISBN 9781337067508

Answers without the blur.

Just sign up for free and you're in.

Register for Free I’ll do it later

Short Answer

Find the net change in the value of function $f (x) = 3 x - 2$ for the inputs from $x = 1 to x = 5$ .

The net change in the value of function is $f (5) - f (1) = 12$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Evaluate the value of function at extreme points.

From the given function,

$f (x) = 3 x - 2 .... (1)$

Evaluate $f (1) and f (5)$ gives,

role="math" localid="1644528261712" $f (1) = 3 (1) - 2.... (Substitute x = 1 in (1)) = 1 f (5) = 3 (5) - 2 .... (Substitute x = 5 in (1)) = 13$

Step 2. Obtain difference at extreme points.

Evaluate difference at extreme points gives the net change $f (b) - f (a)$ where role="math" localid="1644528485437" $b > a$ . Therefore,

$\begin{matrix} f (5) - f (1) = 13 - 1 \\ = 12 \end{matrix}$

Step 3. Description of steps.

The net change in the value of function is $f (5) - f (1) = 12$ .

Most popular questions for Math Textbooks

Find the value of $g (2), g (- 1), g (\frac{1}{2}), g (a), g (a - 1), g (x^{2} - 1)$ for the function $g (x) = \frac{1 - x}{1 + x}$ .

Find the value of $h (- 1), h (- 2), h (\frac{1}{2}), h (x - 1), h (\frac{1}{x})$ for the function $h (t) = t + \frac{1}{t}$ .

Find the value of $f (a), f (a + h), \frac{f (a + h) - f (a)}{h}$ for the function $f (x) = 5 - 2 x$ .

Find the domain of the function.

$f (x) = \frac{x}{\sqrt[4]{9 - x^{2}}}$

Domain and Range Find the domain and range of the function.

$f (x) = 3 x, - 2 \leq x \leq 6$

Want to see more solutions like these?

Sign up for free to discover our expert answers

Get Started - It’s free

Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

Sign up for free