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Calculus, 8th Edition,stewart; page 33 problem 8

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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.

asked Jul 29, 2015 in CALCULUS by anonymous

1 Answer

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Step:1

The function is .

The members of this family can be obtained by substituting different values for .

Substitute  in .

Equation of a line .

Substitute  in .

Equation of a line .

Substitute  in .

Equation of a line .

Substitute  in 

Equation of a line .

Step:2

Graph :

Graph the members of the family are  and .

All members of this family are linear functions, which represents straight lines.

All these straight lines passing through the point .

Solution:

All these straight lines passing through the point .

Graph of the members of the family :

.

answered Jul 29, 2015 by dozey Mentor
edited Jul 29, 2015 by dozey

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