7. Let's examine why end-behavior works a little more closely. Consider the functions f(x)=x' and g(x)=x'+2x +7x+10. f(x) g(x) f(x) g(x) (a) Fill out the table below for the values of x listed. Round your final column 5 to the nearest hundredth. 10 50 100 (b) What number is the ratio in the fourth column approaching as x gets larger? What does this tell you about the part of g(x) that can be attributed to the cubic term?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.7: Operations On Functions
Problem 63E
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Question 7A and B 

he grapn below could be the Tong-run behavior fof which of the following functions!
without graphing each of the following equations.
Do this problem
(1) y= 2x²-7x+1
(2) y=4x'+2x²-6x+4
(3) y=-5x* +3x-2x2 +x+9
(4) y=-3x'-4x +2x+1
REASONING
7. Let's examine why end-behavior works a little more closely. Consider the functions f(x)=x and
g(x)
%
=x'+2x +7x+10.
f (x)
f(x)
g(x)
g(x)
(a) Fill out the table below for the values
of x listed. Round your final column
to the nearest hundredth.
10
50
100
(b) What number is the ratio in the fourth column approaching as x gets larger? What does this tell you
about the part of g(x) that can be attributed to the cubic term?
Transcribed Image Text:he grapn below could be the Tong-run behavior fof which of the following functions! without graphing each of the following equations. Do this problem (1) y= 2x²-7x+1 (2) y=4x'+2x²-6x+4 (3) y=-5x* +3x-2x2 +x+9 (4) y=-3x'-4x +2x+1 REASONING 7. Let's examine why end-behavior works a little more closely. Consider the functions f(x)=x and g(x) % =x'+2x +7x+10. f (x) f(x) g(x) g(x) (a) Fill out the table below for the values of x listed. Round your final column to the nearest hundredth. 10 50 100 (b) What number is the ratio in the fourth column approaching as x gets larger? What does this tell you about the part of g(x) that can be attributed to the cubic term?
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