13. Let g be a polynomial function whose graph has a point of inflection at x = 3. Which of the following stateme about g must be true? (A) The graph of g has a relative extremum at x = 3. (B) The graph of g has is tangent to the x-axis at x = 3. (C) The graph of the rate of change of g has a relative extremum at x = 3. (D) The graph of the rate of change of g has crosses the x-axis at x = 3.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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E only
(e) C and E only
(D) A, C, and E
O
C
13. Let g be a polynomial function whose graph has a point of inflection at x = 3. Which of the following statements
about g must be true?
The graph of g has a relative extremum at x = 3.
(B)
The graph of g has is tangent to the x-axis at x = 3.
(C) The graph of the rate of change of g has a relative extremum at x = 3.
(D) The graph of the rate of change of g has crosses the x-axis at x = 3.
14. The function is given by r(x)=
x²+2x-24
3
x³ +8x² +12x
What is the domain of r?
x(x² + 8x +12)
X(X+6)(x+2)
(A) all real numbers x where x-6, x 4
(B) all real numbers x where x=0, x=-2
(C)) all real numbers x where x #-6, x ±0, x ± −2
(D) all real numbers x where x #-6, x ±0, x ± -2, x #4
x 70,6,2
-2
Transcribed Image Text:E only (e) C and E only (D) A, C, and E O C 13. Let g be a polynomial function whose graph has a point of inflection at x = 3. Which of the following statements about g must be true? The graph of g has a relative extremum at x = 3. (B) The graph of g has is tangent to the x-axis at x = 3. (C) The graph of the rate of change of g has a relative extremum at x = 3. (D) The graph of the rate of change of g has crosses the x-axis at x = 3. 14. The function is given by r(x)= x²+2x-24 3 x³ +8x² +12x What is the domain of r? x(x² + 8x +12) X(X+6)(x+2) (A) all real numbers x where x-6, x 4 (B) all real numbers x where x=0, x=-2 (C)) all real numbers x where x #-6, x ±0, x ± −2 (D) all real numbers x where x #-6, x ±0, x ± -2, x #4 x 70,6,2 -2
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