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Which graph represents the function that has the rule f(x) = x(x − 2)(x+6)(x + 1)? A B O D (. O 150 125 100 75 50- 25 ©2020 StrongMind. Crea 4 -0 -25 -50- -75 -100 -125 -150 ©2020 StrongMind. Created using GeoGebra 1504 125 100 75 50 1-1 -50 GeoGebra ©2020 StrongMind. Created using GeoGebra 4 V 12 -25 -75 -100 4 -125 24

Which graph represents the function that has the rule f(x) = x(x − 2)(x+6)(x + 1)? A B O D (. O 150 125 100 75 50- 25 ©2020 StrongMind. Crea 4 -0 -25 -50- -75 -100 -125 -150 ©2020 StrongMind. Created using GeoGebra 1504 125 100 75 50 1-1 -50 GeoGebra ©2020 StrongMind. Created using GeoGebra 4 V 12 -25 -75 -100 4 -125 24

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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I think its C

Which graph represents the function that has the rule f(x) = x(x − 2)(x+6)(x + 1)? A B O D (. O 150 125 100 75 50- 25 ©2020 StrongMind. Crea 4 -0 -25 -50- -75 -100 -125 -150 ©2020 StrongMind. Created using GeoGebra 1504 125 100 75 50 1-1 -50 GeoGebra ©2020 StrongMind. Created using GeoGebra 4 V 12 -25 -75 -100 4 -125 24
Transcribed Image Text:Which graph represents the function that has the rule f(x) = x(x − 2)(x+6)(x + 1)? A B O D (. O 150 125 100 75 50- 25 ©2020 StrongMind. Crea 4 -0 -25 -50- -75 -100 -125 -150 ©2020 StrongMind. Created using GeoGebra 1504 125 100 75 50 1-1 -50 GeoGebra ©2020 StrongMind. Created using GeoGebra 4 V 12 -25 -75 -100 4 -125 24
Expert Solution
Step 1

We have given graph of function

fx=xx-2x+6x+1

To get zeros of the function 

Put fx=0

xx-2x+6x+1=0

x=0 or x-2=0 or  x+6=0 or   x+1=0

x=0 or x=2  or x=-6 or x=-1

We get zeros of the function 

x=-6,-1,0,2

Option (C) and Option (D) are incorrect. 

Both options doesn't have same zeros as that of f(x).

Checking further

Degree of f(x) =4

Degree of function is even.

So,

When x→∞ , fx→∞

When x→-∞ , fx→∞

Option (B) will be graph of the given function. 

 

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