8. If ƒ(x) = − x² + x, which expression represents ƒ (x) ? A. −−(x+h)²+(x+h)-(-x²+x) h B. −−¯(x+h)²+(x+h)-x²+x_ C. [-(x+h)²+(x+h)]-(-x²+x) D. —-x²+x+h]-(-x²³+x) 9. The graph of g (x), the derivative of a function g(x), is shown at right. Which of the following statements is/are true? I. The graph of g(x) has horizontal tangent line when x = 3. II. The graph of g(x) is decreasing on the interval from (-∞, - 2). III. The graph of g(x) is increasing when x =- 4. A. I and III B. I only C. II only D. I and II 10. The equation 12x - 0.5= graph A. 12 C. 9 of g(x) when x = 1. What is g (- 1)? Ⓒ Jean Adams Flamingo Math™, LLC --4-3-2-1 B. - 4 3(y + 6) represents the equation of the tangent line to the y=g'(x) D. undefined 12

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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Question
8. If f(x)=x².
A.
D.
B. -(x+h)²+(x+h)-x²+x
h
C. [-(x+h)² + (x+h)]-(-x²+x)
[-x²+x+h]-(-x²+x)
-(x+h)²+(x+h)-(-x²+x)
h
9. The graph of g (x), the derivative of a function g(x), is
shown at right. Which of the following statements is/are
true?
I. The graph of g(x) has horizontal tangent line
when x = 3.
+ x, which expression represents f'(x)?
II. The graph of g(x) is decreasing on the interval
from (-∞, - 2).
III. The graph of g(x) is increasing when x =- 4.
A. I and III
B. I only
C. II only
D. I and II
A. 12
C. 9
10. The equation 12x - 0.5 = - 3(y + 6) represents the equation of the tangent line to the
of g(x) when x = 1. What is g (- 1)?
graph
Jean Adams Flamingo Math™, LLC
y=g'(x)
Чт
-4-3-2-1
1 2 3,
B. 4
D. undefined
Transcribed Image Text:8. If f(x)=x². A. D. B. -(x+h)²+(x+h)-x²+x h C. [-(x+h)² + (x+h)]-(-x²+x) [-x²+x+h]-(-x²+x) -(x+h)²+(x+h)-(-x²+x) h 9. The graph of g (x), the derivative of a function g(x), is shown at right. Which of the following statements is/are true? I. The graph of g(x) has horizontal tangent line when x = 3. + x, which expression represents f'(x)? II. The graph of g(x) is decreasing on the interval from (-∞, - 2). III. The graph of g(x) is increasing when x =- 4. A. I and III B. I only C. II only D. I and II A. 12 C. 9 10. The equation 12x - 0.5 = - 3(y + 6) represents the equation of the tangent line to the of g(x) when x = 1. What is g (- 1)? graph Jean Adams Flamingo Math™, LLC y=g'(x) Чт -4-3-2-1 1 2 3, B. 4 D. undefined
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