Consider this function: f(x) = 2x³ +5x² - 4x - 3 This problem has four parts. Be sure to answer all questions. Reminder: To indicate ±, just type: +- 1. List all possible rational zeros for the function. Separate them with comma(s). Enter answer: -1/2, 1, -3 2. Find one rational zero that is an integer. Using this work, factor f(x) completely. (Hints: f(x) will equal a product of three binomials and there are no fractions in the final factoring of f(x).) Enter answer: f(x) = (2x+1)(x-1)(x+3) 3. Using your work above, list all of the actual zeros of f(x). Enter answer. Separate the zeros with comma(s): x = 4. Select the correct statement(s) about the function's end behavior. Select all that apply and enter the corresponding letter(s). (If more than one is correct, separate the letters with comma(s)). MAY 24 tv D

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter5: Polynomial And Rational Functions
Section: Chapter Questions
Problem 18PT: Given the following information about a polynomial function, find the function. It has a zero of...
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Consider this function: f(x) = 2x³+5x² - 4x-3
This problem has four parts. Be sure to answer all questions.
Reminder: To indicate ±, just type: +-
1. List all possible rational zeros for the function. Separate them with comma(s).
Enter answer: -1/2, 1, -3
2. Find one rational zero that is an integer. Using this work, factor f(x) completely.
(Hints: f(x) will equal a product of three binomials and there are no fractions in the final factoring of f(x).)
Enter answer: f(x) = (2x+1)(x-1)(x+3)
3. Using your work above, list all of the actual zeros of f(x).
Enter answer. Separate the zeros with comma(s): x =
4. Select the correct statement(s) about the function's end behavior.
Select all that apply and enter the corresponding letter(s).
(If more than one is correct, separate the letters with comma(s)).
MAY
24
tv
@
A
TR
Transcribed Image Text:Consider this function: f(x) = 2x³+5x² - 4x-3 This problem has four parts. Be sure to answer all questions. Reminder: To indicate ±, just type: +- 1. List all possible rational zeros for the function. Separate them with comma(s). Enter answer: -1/2, 1, -3 2. Find one rational zero that is an integer. Using this work, factor f(x) completely. (Hints: f(x) will equal a product of three binomials and there are no fractions in the final factoring of f(x).) Enter answer: f(x) = (2x+1)(x-1)(x+3) 3. Using your work above, list all of the actual zeros of f(x). Enter answer. Separate the zeros with comma(s): x = 4. Select the correct statement(s) about the function's end behavior. Select all that apply and enter the corresponding letter(s). (If more than one is correct, separate the letters with comma(s)). MAY 24 tv @ A TR
80
4. Select the correct statement(s) about the function's end behavior.
Select all that apply and enter the corresponding letter(s).
(If more than one is correct, separate the letters with comma(s)).
a. As x→ ∞o, f(x) 810
b. As x→ ∞o, f(x) → ∞
C. As x→∞o, f(x) 810
d. As x→ ∞o, f(x) → ∞
L
A Moving to another question will save this response.
24
F5
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MacBook Air
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Transcribed Image Text:80 4. Select the correct statement(s) about the function's end behavior. Select all that apply and enter the corresponding letter(s). (If more than one is correct, separate the letters with comma(s)). a. As x→ ∞o, f(x) 810 b. As x→ ∞o, f(x) → ∞ C. As x→∞o, f(x) 810 d. As x→ ∞o, f(x) → ∞ L A Moving to another question will save this response. 24 F5 000 000 FA (a MacBook Air F6 tv F7 /A DII F8 ww7 ww F9 W
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