21 22 23Handwritten For numbers 21-23, consider g(x) = 5√x² - 2x521. Which of the following shows the domain of g(x)?(A) (-∞, ∞)(B) (-∞, 0](C) [0, ∞)(D) (-∞,0) U (0, ∞)22. In single fraction with positive exponents of variable, which of the following is the derivative ofg(x) with respect to x?10 - 10x24.25.23. What is (are) the critical number(s) of g(x)?(A) x = 0 only(B) x = -1 and x = 026.27.28.29.(A) g'(x) =30.(B) g'(x) =3√x10 - 10x3√xB if both statements I and II are false;C if both statements I and II are true; orD if statement I is true and statement II is false.(C) g'(x) =I. f has a relative minimum point at (0, 10).II. f has a relative maximum point at (3,-17).(D) g'(x) =For numbers 24-30, consider f(x) =−x¹ +8x³ - 18x² + 10.Read the following statements carefully. Each item has two statements: I and II. On your answersheet, chooseA if statement I is false and statement II is true;I. The critical numbers of f on its domain are 0 and 3.II. The domain of f is (0,00).(C) x = -1 only(D) x = 0 and r= 1I. f has an inflection point at (1,-1).II. f has an inflection point at (3,-17).10- 10x3√x²10+ 10x3√TI. On [1,4], f has an absolute minimum point at (-1,-17).II. On [-1,4], f has an absolute maximum point at (0, 10).I. On [1,1], f has an absolute minimum point at (-1,-17).II. On [-1, 1], f has an absolute maximum point at (0, 10).I. On [1,4], f has an absolute minimum point at (1,-1).II. On [1,4], f has an absolute maximum point at (2, 14).I. On [1,4], f has an absolute minimum point at (3,-17).II. On [1,4], f has an absolute maximum point at (4, -22).

Answered: Image /qna-images/answer/07c8733b-5faf-468c-b542-c41e92189976.jpg

For numbers 21-23, consider g(x) = 5x² - 2√x³ 21. Which of the following shows the domain of g(x)? (A) (-∞, ∞) (B) (-∞0, 0] (C) [0, ∞) (D) (-∞,0) U (0, ∞) 22. In single fraction with positive exponents of variable, which of the following is the derivative of g(x) with respect to x? 10 - 10x 3√x 10 - 10x 3√x (A) g'(x) = (B) g'(x) = 23. What is (are) the critical number(s) of g(x)? (A) x = 0 only (B) x = -1 and x = 0 (C) g'(x) = (D) g'(x) = 10 - 10x 3√x² 10 + 10x 3√x (C) x = -1 only (D) x = 0 and x = 1

For numbers 21-23, consider g(x) = 5x² - 2√x³ 21. Which of the following shows the domain of g(x)? (A) (-∞, ∞) (B) (-∞0, 0] (C) [0, ∞) (D) (-∞,0) U (0, ∞) 22. In single fraction with positive exponents of variable, which of the following is the derivative of g(x) with respect to x? 10 - 10x 3√x 10 - 10x 3√x (A) g'(x) = (B) g'(x) = 23. What is (are) the critical number(s) of g(x)? (A) x = 0 only (B) x = -1 and x = 0 (C) g'(x) = (D) g'(x) = 10 - 10x 3√x² 10 + 10x 3√x (C) x = -1 only (D) x = 0 and x = 1

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section: Chapter Questions

Problem 14T

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