   Chapter 1.2, Problem 8E

Chapter
Section
Textbook Problem

What do all members of the family of linear functions f(x) = 1 + m(x + 3) have in common? Sketch several members of the family.

To determine

To find: The common members of the family of linear function f(x)=1+m(x+3) ; sketch and mark the members on the graph.

Explanation

Consider the linear function y=1+m(x+3) .

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 m=1 , then c=4 .

If m=1 , then c=2 .

If m=0 , then c=1

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