In Problems 5-22, graph each polynomial function by following Steps 1 through 5 on page 191. 6. f(x) = x(x + 2)² \s (x) = x°(x – 3) & f(x) = (x - 1) (x + 3)2 %3D 7. f(x) = (x + 4)²(1 – x) 9. f(x) = -2(x + 2) (x – 2)³ 10. f(x) = --(x + 4) (x – 1)³ 11. f(x) = (x + 1) (x - 2) (x + 4) 12. f(x) = (x – 1) (x + 4) (x – 3) 13. f(x) = x(1 – x) (2 – x) 14. f(x) = (3 – x) (2 + x) (x + 1) 15. f(x) = (x + 1)²(x – 2)² 16. f(x) = (x – 4)²(x + 2)² 17. f(x) = -2(x – 1)²(x² – 16) 18. f(x) = (x + 1)³ (x – 3) 19. f(x) = 5x(x² – 4) (x + 3) 21.2 20. f(x) = (x – 2)²(x + 2) (x + 4) 21. f(x) = x²(x – 2) (x? + 3) 22 f(x)
In Problems 5-22, graph each polynomial function by following Steps 1 through 5 on page 191. 6. f(x) = x(x + 2)² \s (x) = x°(x – 3) & f(x) = (x - 1) (x + 3)2 %3D 7. f(x) = (x + 4)²(1 – x) 9. f(x) = -2(x + 2) (x – 2)³ 10. f(x) = --(x + 4) (x – 1)³ 11. f(x) = (x + 1) (x - 2) (x + 4) 12. f(x) = (x – 1) (x + 4) (x – 3) 13. f(x) = x(1 – x) (2 – x) 14. f(x) = (3 – x) (2 + x) (x + 1) 15. f(x) = (x + 1)²(x – 2)² 16. f(x) = (x – 4)²(x + 2)² 17. f(x) = -2(x – 1)²(x² – 16) 18. f(x) = (x + 1)³ (x – 3) 19. f(x) = 5x(x² – 4) (x + 3) 21.2 20. f(x) = (x – 2)²(x + 2) (x + 4) 21. f(x) = x²(x – 2) (x? + 3) 22 f(x)
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.2: Polynomial Functinos And Their Graphs
Problem 2E: Describe the end behavior of each polynomial. (a) y=x38x2+2x15 End behavior: y as x y as x (b)...
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Please help me with 7,13,19 step by step ??????
![3.6
In Problems 5-22, graph each polynomial function by following Steps 1 through 5 on page 191.
Skill Building
\5 (x) = x°(x – 3)
& f(x) = (x – 1) (x + 3)2
6. f(x) = x(x + 2)2
7. f(x) = (x + 4)²(1 – x)
9. f(x) = -2(x + 2) (x – 2)³
10. f(x) = --(x + 4) (x – 1)³
IL. f(x) = (x + 1) (x – 2) (x + 4)
12. f(x) = (x – 1) (x + 4) (x – 3)
13. f(x) = x(1 – x) (2 – x)
14. f(x) = (3 – x) (2 + x) (x + 1)
15. f(x) = (x + 1)²(x – 2)²
16. f(x) = (x – 4)²(x + 2)²
17. f(x) = -2(x – 1)²(x² – 16) 18. f(x) = (x + 1)³(x – 3)
19. f(x) = 5x(x² - 4) (x + 3)
(d)
20. f(x) = (x – 2)²(x + 2) (x + 4)
21. f(x) = x²(x – 2)(x + 3)
22 flx)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcbe4741f-63b8-43f7-bd8e-84380e4906a0%2F9cf1f44d-be51-4dc5-a5f5-5abb334f4163%2Fwdy01tx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3.6
In Problems 5-22, graph each polynomial function by following Steps 1 through 5 on page 191.
Skill Building
\5 (x) = x°(x – 3)
& f(x) = (x – 1) (x + 3)2
6. f(x) = x(x + 2)2
7. f(x) = (x + 4)²(1 – x)
9. f(x) = -2(x + 2) (x – 2)³
10. f(x) = --(x + 4) (x – 1)³
IL. f(x) = (x + 1) (x – 2) (x + 4)
12. f(x) = (x – 1) (x + 4) (x – 3)
13. f(x) = x(1 – x) (2 – x)
14. f(x) = (3 – x) (2 + x) (x + 1)
15. f(x) = (x + 1)²(x – 2)²
16. f(x) = (x – 4)²(x + 2)²
17. f(x) = -2(x – 1)²(x² – 16) 18. f(x) = (x + 1)³(x – 3)
19. f(x) = 5x(x² - 4) (x + 3)
(d)
20. f(x) = (x – 2)²(x + 2) (x + 4)
21. f(x) = x²(x – 2)(x + 3)
22 flx)
![Steps for Graphing a Polynomial Function
STEP 1: Determine the end behavior of the graph of the function.
STEP 2: Find the x- and y-intercepts of the graph of the function.
STEP 3: Determine the real zeros of the function and their multiplicity. Use this information to determine
whether the graph crosses or touches the x-axis at each x-intercept.
STEP 4: Determine the maximum number of turning points on the graph of the function.
SIEP 5: Use the information in Steps 1 through 4 to draw a complete graph of the function. To help establish
the y-axis scale, find additional points on the graph on each side of any x-intercept.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcbe4741f-63b8-43f7-bd8e-84380e4906a0%2F9cf1f44d-be51-4dc5-a5f5-5abb334f4163%2F2d6ccdo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Steps for Graphing a Polynomial Function
STEP 1: Determine the end behavior of the graph of the function.
STEP 2: Find the x- and y-intercepts of the graph of the function.
STEP 3: Determine the real zeros of the function and their multiplicity. Use this information to determine
whether the graph crosses or touches the x-axis at each x-intercept.
STEP 4: Determine the maximum number of turning points on the graph of the function.
SIEP 5: Use the information in Steps 1 through 4 to draw a complete graph of the function. To help establish
the y-axis scale, find additional points on the graph on each side of any x-intercept.
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