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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 1.2, Problem 6E

To determine

**To find:** The common members of the family of linear function

Expert Solution

The members of the family of a linear function

Consider the linear function

Recall the fact that the slope (*m*) of the function is the coefficient of the *x* term and *y*-intercept (*c*) is the constant term of the function.

Obtain the values of *y*-intercepts for the various *m* values.

If

If

If

If

Substitute the above values of *m* and corresponding values of *c* in the linear function

From Figure 1, it is noticed that all the members of the family of a linear function