Chapter 1.2, Problem 7E

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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 *m* and *y*-intercept *c*.

Given that, the slope (*m*) is 2.

Thus, the linear function of slope 2 is

Obtain the equations for the various *c* values.

If

If

(b)

To determine

**To find:** The equation of the family of linear function satisfying the condition that

(c)

To determine

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

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