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1.What are the possible values for f"(x) if f"(x) exists and Ax,) > Ax,) for every x1 0 c. f'(x) = 0 d. f'(x) 2 0 2. What is the behaviour of f"(x) if f"(x) > 0? a. Increasing b. Stationary c. Decreasing d. Need more information 3. For what values of x is Ax) = x + 3x- 1 increasing? c. x<-1 and x > 1 d. all real numbers a. -1 1 4. Let Ax) = x + 3x+ 4. What are the critical number(s)? a. x--1 b. x-1 c. x--1 and x = 1 d. None 5. Let fx) = x² – 3x² + 3x – 1. What type of critical point is located at x = 1? a. Local maximum b. Local minimum c. Neither a local max or local min d. Unknown 6. Let Ax) be a continuous function. If f'(x) > 0 for x > c and f"(x) < 0 for x

1.What are the possible values for f"(x) if f"(x) exists and Ax,) > Ax,) for every x1 0 c. f'(x) = 0 d. f'(x) 2 0 2. What is the behaviour of f"(x) if f"(x) > 0? a. Increasing b. Stationary c. Decreasing d. Need more information 3. For what values of x is Ax) = x + 3x- 1 increasing? c. x<-1 and x > 1 d. all real numbers a. -1 1 4. Let Ax) = x + 3x+ 4. What are the critical number(s)? a. x--1 b. x-1 c. x--1 and x = 1 d. None 5. Let fx) = x² – 3x² + 3x – 1. What type of critical point is located at x = 1? a. Local maximum b. Local minimum c. Neither a local max or local min d. Unknown 6. Let Ax) be a continuous function. If f'(x) > 0 for x > c and f"(x) < 0 for x

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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1.What are the possible values for f"(x) if f"(x) exists and Ax1) > Ax2) for every x1 <x,? a. f"(x) < 0 b. f"(x) > 0 c. f'(x) = 0 d. f"(x) 20 2. What is the behaviour of f"(x) if f"(x) > 0? a. Increasing b. Stationary c. Decreasing d. Need more information 3. For what values of x is Ax) = x + 3x -1 increasing? a. -1 <x <1 b. x>1 c. x<-1 and x > 1 d. all real numbers 4. Let Az) = x + 3x + 4. What are the critical number(s)? a. X=-1 b. x= 1 c. x = -1 and x = 1 d. None 5. Let Ax) = x - 3x² + 3x- 1. What type of critical point is located at x = 1? c. Neither a local max or local min d. Unknown a. Local maximum b. Local minimum 6. Let Ax) be a continuous function. If f(x) > 0 for x > c and f"(x) < 0 for x <c then what type of critical point is (c,c))? a. Local maximum c. Neither a local max or local min b. Local minimum d. Unknown 7. Let Ax) be a polynomial of degree 3 and (c) = 0. Let g(x) be a polynomial of degree 2 and g(c) + 0. What type of g(x). -? asymptote is located at x = c for Az) a. horizontal asymptote b. vertical asymptote c. oblique asymptote d. None
Transcribed Image Text:1.What are the possible values for f"(x) if f"(x) exists and Ax1) > Ax2) for every x1 <x,? a. f"(x) < 0 b. f"(x) > 0 c. f'(x) = 0 d. f"(x) 20 2. What is the behaviour of f"(x) if f"(x) > 0? a. Increasing b. Stationary c. Decreasing d. Need more information 3. For what values of x is Ax) = x + 3x -1 increasing? a. -1 <x <1 b. x>1 c. x<-1 and x > 1 d. all real numbers 4. Let Az) = x + 3x + 4. What are the critical number(s)? a. X=-1 b. x= 1 c. x = -1 and x = 1 d. None 5. Let Ax) = x - 3x² + 3x- 1. What type of critical point is located at x = 1? c. Neither a local max or local min d. Unknown a. Local maximum b. Local minimum 6. Let Ax) be a continuous function. If f(x) > 0 for x > c and f"(x) < 0 for x <c then what type of critical point is (c,c))? a. Local maximum c. Neither a local max or local min b. Local minimum d. Unknown 7. Let Ax) be a polynomial of degree 3 and (c) = 0. Let g(x) be a polynomial of degree 2 and g(c) + 0. What type of g(x). -? asymptote is located at x = c for Az) a. horizontal asymptote b. vertical asymptote c. oblique asymptote d. None
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