   Chapter 1.2, Problem 7E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# (a) Find an equation for the family of linear functions with slope 2 and sketch several members of the family.(b) Find an equation for the family of linear functions such that f(2) = 1 and sketch several members of the family.(c) Which function belongs to both families?

(a)

To determine

To find: An equation of the family of linear function with slope 2 and sketch the members of the family on the graph.

Explanation

The general equation of a linear function is of the form y=mx+c with slope m and y-intercept c.

Given that, the slope (m) is 2.

Thus, the linear function of slope 2 is y=2x+c where c is any real number.

Obtain the equations for the various c values.

If c=1, then y=2x+1.

If c=0, then y=2x

(b)

To determine

To find: The equation of the family of linear function satisfying the condition that f(2)=1 and sketch the members of the family on the graph.

(c)

To determine

To find: The common function belongs to both the families of part (a) and part (b).

### 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

#### Solve the equations in Exercises 126. x1x=0

Finite Mathematics and Applied Calculus (MindTap Course List)

#### In Exercises 63-68, use the graph of the function f to determine limxf(x) and limxf(x) 63.

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

#### Rationalize each of the following denominators and simplify. (a) 5xy2x (b) yxxy23

Mathematical Applications for the Management, Life, and Social Sciences

#### If sin=725, find cos and sec.

Elementary Geometry for College Students

#### Using for |x| < 1,

Study Guide for Stewart's Multivariable Calculus, 8th

#### f(x) dx = F(x) means a) f(x) = F(x) b) f(x) = F(x) c) f(x) = F(b) F(a) d) f(x) = F(x) + C

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